Okay, I just flipped through the first few issues of post SW Miles, and no. There's no talk of the other universe or anything. I don't think he remembers 1610, dead Peter, Battleworld, giving Molecule Man the burger, or anything.
But I dunno... If he doesn't remember 1610 Peter or his moms death, or 1610 May or anything else, then he's not really the same person anymore is he? Same with Ganke, Jefferson, all of the transplants... Do they all just remember 616 stuff all their lives? For example: Who is Reed Richards to them, a famous older scientist with grey temples? Or the young terrorist? And if they remember the 616 version but forgot the 1610 version... Well, does that make any sense considering the 1610 Reed came over too (and totally remembers everything)? If Miles and Reed/Maker come face to face at some point, will Reed remember him but not vice versa?
And is Miles no longer motivated by (1610) Peter's death? How is Ganke the same person? What about Uncle Aaron, was he still a burglar, but not a villain? Was he never the Prowler?
Does he remember the 1610 Jessica (who was a clone of Peter), or 1610 Gwen or 1610 Fury? They all shaped him a lot. His costume came from Fury, in fact. NOW where did his costume come from? In fact, what spider bit Miles? Originally Miles' spider was one that was full of a serum made from Peter's blood. Now what? Was it another science experiment spider just like Peter? Did he build his own web shooters now (in Ultimate, he was given an old pair of Peter's by MJ). Or what?
Would/will he recognize Kate Bishop if/when they cross paths (considering the 1610 version of her was his girlfriend for quite a while)?
Does Bendis even know any of this?
The whole thing gives Brand New Day vibes, but way less defined.