Except that earlier surviving texts of Isaiah, like the Greek Septuagint or the Hebrew Dead Sea Scrolls don't use the name "Lucifer".
The name - "Lucifer" - doesn't appear till the 4th century CE, when St Jerome was translating Hebrew Scriptures into Latin - the vulgate bible.
Applying lucifer to satan, when "lucifer" was never really originally used in Isaiah 14, is interpolation and not to mention, absolutely absurd.
Lastly, the whole of Isaiah 14, was supposed to be a prophecy to the king of Babylonia (Isaiah 14:3-4), and the morning star (or "son of morning") and other stars, are just symbols for the Babylonian king and his empire, would eventually fall. And 14:16 does indicate that person is a man, not a fallen angel:
Don't just read one verse, read the whole damn chapter. The context for the son of morning being a man is all there, in Isaiah 14, not that of satan or devil.
Lucifer and the following have similar meaning. I don't think the name change is extremely important.
H1966
הילל
hêylêl
hay-lale'
From H1984 (in the sense of brightness); the morning star:
When reading the whole chapter (actually, reading all books is necessary), we should be able to see that the chapter does not only refer to one character. However, those characters are related.
(It actually doesn't even refer to one period of time -as "Babylon" in prophecy does not refer only to the ancient kingdom with that name.)
Isa 14:4 -king of Babylon
Isa 14:12 -hêylêl
Isa 14:25 -the Assyrian
Prophecies often address the relationship between earthly powers/rulers and the spiritual power which influences them.
Rev 13:4
And they worshipped the dragon which gave power unto the beast: and they worshipped the beast, saying, Who is like unto the beast? who is able to make war with him?
It is also true that many names are often given to a single character in the bible.
In fact, the beast in Rev 13:4 is the same as the Assyrian in Isaiah 14:25.
The beast/Assyrian is also called a king of fierce countenance and (last) king of the north (as king of the north actually refers to a succession of rulers) in Daniel.
Dan 8:23 And in the latter time of their kingdom, when the transgressors are come to the full, a king of fierce countenance, and understanding dark sentences, shall stand up.
Dan 8:24 And his power shall be mighty, but not by his own power:
It should be no surprise that Old Testament prophecies often concern end-time events.
Dan 12:4 But thou, O Daniel, shut up the words, and seal the book, even to the time of the end: many shall run to and fro, and knowledge shall be increased.
This king of fierce countenance is also called the PRINCE of Tyrus in Ezekiel -and Satan, who gives power to the beast -is called the KING of Tyrus (which should be clear, as no human king of Tyrus was present in Eden).
(The Assyrians once ruled Tyrus).
They are the same characters described in Isaiah 14!
Prophecy also sometimes begins describing an ancient situation and characters specific to that time -then parallels them with later events -or even events yet future from our perspective.
Back to Isaiah 14 -
Babylon and Assyria anciently had a sort of love-hate relationship.
The same is true for the end times. The beast -the Assyrian -will actually rule over "Babylon" -but will not have "honour of the kingdom" (He will reign -but not popularly).
"Babylon" sometimes refers to the last kingdom described by the statue in King Nebuchadnezzar's dream (in Daniel). His Babylon was the head of gold of the statue in that dream -and the kingdom of the beast are the feet and toes of iron and clay.
The Assyrian is the king of "Babylon" in Isaiah 14 -and hêylêl -translated as Lucifer -does refer to Satan who gives him power -and the chapter does speak of events in the end times, even though the kingdoms of Assyria and Babylon no longer exist by name.
The beast -the Assyrian -will rule with ten kings over their peoples who are not of the same descent as he.
(Those peoples are referred to also by the general term "Chaldean" in prophecy [Nebuchadnezzar was a Chaldean -and descendents of the Chaldeans still inhabit Europe].
The ruling/warring class of the Assyrians left their homeland after the fall of the empire -traveled to Haran -and continued NW to Europe -then known as the Chatti -inhabiting what is now Germany -where they eventually referred to themselves as Aryan. This is described in Ezekiel 17 and 31)
Rev 17:12 And the ten horns which thou sawest are ten kings, which have received no kingdom as yet; but receive power as kings one hour with the beast.
Rev 17:13
These have one mind, and shall give their power and strength unto the beast.
Rev 17:14 These shall make war with the Lamb, and the Lamb shall overcome them: for he is Lord of lords, and King of kings: and they that are with him are called, and chosen, and faithful.
Dan 8:25 And through his policy also he shall cause craft to prosper in his hand; and he shall magnify himself in his heart, and by peace shall destroy many:
he shall also stand up against the Prince of princes; but he shall be broken without hand.
Dan 2:42 And as the toes of the feet were part of iron, and part of clay, so the kingdom shall be partly strong, and partly broken.
Dan 2:43 And whereas thou sawest iron mixed with miry clay,
they shall mingle themselves with the seed of men: but they shall not cleave one to another, even as iron is not mixed with clay.
Dan 2:44 And in the days of these kings shall the God of heaven set up a kingdom, which shall never be destroyed:
We can also know that Isaiah 14 is yet future -as the Assyrian has yet to be broken in God's land.
Isa 14:24 The LORD of hosts hath sworn, saying, Surely as I have thought, so shall it come to pass; and as I have purposed, so shall it stand:
Isa 14:25
That I will break the Assyrian in my land, and upon my mountains tread him under foot: then shall his yoke depart from off them, and his burden depart from off their shoulders.
Isa 14:26
This is the purpose that is purposed upon the whole earth: and this is the hand that is stretched out upon all the nations.
...and that is described here......
Dan 11:40
And at the time of the end shall the king of the south push at him: and the king of the north shall come against him like a whirlwind, with chariots, and with horsemen, and with many ships; and he shall enter into the countries, and shall overflow and pass over.
Dan 11:41
He shall enter also into the glorious land, .........................
Dan 11:45
And he shall plant the tabernacles of his palace between the seas in the glorious holy mountain; yet he shall come to his end, and none shall help him.