Not really. "Allah" is derived from al-Ilahu, meaning "the god". The word "ilah" means "deity/god," - feminine of "ilāhah" or "goddess". "God" is derived from the Proto-Indo-European ghut, meaning "that which is invoked/worshiped". So really, "Allah" means "the one thing which we worship", and you - as with other Abrahamics - believe this "one thing you worship" to be the god that Abraham worshiped: Yahweh.
Lol. Mate. What you have done is give the linguistic meaning of the word which absolutely contradicts your own statement about it purely being this "Abrahamic God" which is a theological statement but not a linguistic statement.
Every tom dick and harry who knows a tad bit of arabic knows the meaning of Allah. It is not "ilahu". Ilaahu is when you address a certain situation. Like you say "he is the God of tom and also the God of Dick", that is when you use ilaahu which in grammatical terms is called a marfooa. It is Al+ilah. "The God". And it does mean as you rightly said "the one thing which we worship", and not only that, it is also the one thing that we deify, not money, not our ego, not our children, not property, not our desire or wishful thinking, not parents, not a prophet, not the world or the universe or anything. It is not only worship, but deify.
Anyway, that being said, lets say a monotheistic faith in a corner of an asian country has a God, and they spoke arabic, and their God was "one God" they would use the same phrase "Allah". Thus, the word as a statement is not necessarily "only for the abrahamic god".
YHWH is irrelevant. YHWH means He Exists. And in Arabic this would be similar to Al Haqq, or in elaboration even Al Qayyoom. But that's a whole other discussion altogether. If you wish to go there, then you have to analyse the documentary hypothesis, and the pentateuch which you are referring to and understand where the Ye or as we commonly call it the J source is coming from. Because you see, there is also an Elohist source. This is more complicated than that.
So the bottomline is, Allah does not "MEAN" the one true God of Abraham, technically.
No, it's really not. One can entirely believe that a given god exists, and yet care nothing for them, their words, or their deeds.
Thats true. So whats your argument. I was responding to the below statement of yours as irrelevant.
"Yet for a polytheistic view this god - Yahweh, so you know - is a god in the same scope and context as Odin or Krishna."
That statement is irrelevant to the discussion. But if you want to discuss further, anyway one has to get used to irrelevance.
Odin is a name like lets say "Butt". Its a name, not a description. So is Krishna. Also, conceptually, I can see that you are trying your levels best to bring in the polytheistic argument into this discussion which is irrelevant, but nevertheless, Krishna is a manifestation of God. So when you make that statement Odin and Krishna and YHWH are all the same, no its not. Unless of course you just want it to be.
Even in the matter of Krishna, if you are a pantheist, Krishna is God, and you are also God. Everything is God. Just manifestations. The whole universe is God. Odin is not another God, Krishna is not another God, if Odin is existing he is just a manifestation, and if Krishna exists (but is more relevant because it is Hinduism), he is just a manifestation.
Gotta go.