Well, I just read that issue and Spider-Girl#11, even with the retcon that the Spidey she met is 616, it makes no sense he recognizes her, since she purposedly avoided to explain anything to him to avoid messing with the timeline, plus Spidey didn't even trust her for most of it and only ended up helping her to go back to her time on a gut feeling, he did meet her as Mayday though, but it's really far fetched he'd recognize some chick he talked with for all of 5 minutes. Also really questionable that Mayday somehow learned that the Spidey she met wasn't her father but a counterpart, even knew which one it was lol.
There's a plot hole within this story too, in #11 is when the events of ASM#25 happen, and Spidey's fight with the spider slayer is the same, but after he leaves the costume behind to get a few laughs at JJ, he immediately goes after Mayday, but he somehow has another costume to use, even though in the original story the spare costume was hidden by Aunt May, and him not having another costume is a plot point in the next issue (Not a serious one though, it's just Spidey feeling frustrated at the shitty costume he bought, he does manage to switch it over the other which JJ got, which Smythe had).
Not saying this ruins the story, it's still alright, but questionable it happened since a few times they're quoting ASM#25, so I can assume they had an access to it, and that story makes it clear Peter doesn't have another costume.
Either way, in hindsight, this panel from Spider-Girl#11 is hilarious:
This mini comic is nice too: