Everything depends upon how God remembers you and possibly how people remember you though not necessarily. A Christian going to heaven expects God to remember the good not the bad. In ancient times the most important thing in many cultures is to be remembered, and this also was (and probably still is) important in Jewish culture. Most Jewish scripture to me seems to place a lot of import on being remembered, though this could be a turn of phrase referring to having children and not strictly memory. Whatever our interpretation of heaven, memory is important: what God remembers, possibly how we are remembered by people, too.
You can see that the Christian is strongly influenced by the Jewish though is not the same. Its just one interpretation of Christianity; but when something is not remembered it is truly gone and when remembered: not.
Even if you are talking about having a spiritual body etc there is still a lot about how God chooses to remember you. In most interpretations of Christ
the memory of you is important. The following are poetic or lyrical passages, but in mystical religion they are relatively important:
[Job 24:20 KJV] 20 The womb shall forget him; the worm shall feed sweetly on him; he shall be no more remembered; and wickedness shall be broken as a tree.
[Psa 136:23 KJV] 23 Who remembered us in our low estate: for his mercy [endureth] for ever:
[Isa 65:17 KJV] 17 For, behold, I create new heavens and a new earth: and the former shall not be remembered, nor come into mind.
[Psa 109:15-16 KJV] 15 ... that he may cut off
the memory of them from the earth. 16 Because that he
remembered not to shew mercy, but persecuted the poor and needy man, that he might even slay the broken in heart...