If doomed dave sprited himself before he time travelled back to fix things, would he still be doomed?

I want to say ‘yes’, because it would mean that there’s still an unprototyped Kernelsprite and would lead to there being two Sprites.

However, with two Nannasprites by the end of Homestuck, I actually am not certain if that’s a matter of the Timeline not being considered as within the ‘Alpha’ anymore, if it’s something about her being a Maid of Life, or if Sprites are simply exempt of these rules because they count as new iterations and are sort of protected as Game Constructs to an extent.