Going for a more tragic spin on it, I'm also imagining a post-DMC3 situation where Vergil regularly visited some library and befriended the local old ladiy story/knitting group pre-DMC3. He of course stops showing up post-DMC3, which worries the ladies because while Vergil has missed a day here or there across the time they've known him, he's now missed several meetings in a row, and something Must Be Wrong.
Then one day Dante decides to visit some random library for some reason or another, and is taken by surprise when a bunch of old ladies crowd around him asking where he's been and why he's decided to change styles so much and oh they've missed Vergil so much, he better not disappear on them without warning again, got it! Which just makes Dante crumble because he isn't Vergil and he doesn't know what they're talking about, but this sounds so much like something Vergil would've done, and how many other aspects of Vergil's life will he never learn about because he cut Vergil's life short and Vergil will never be able to tell him about them?
I can't decide if Dante would laugh it off (or huff, or do something more Vergil-like) and pretend to be Vergil, making some sort of excuse about how he moved and didn't think they'd have missed him enough to want to know, or if he'd just blanch and say no, sorry, they have the wrong person, hope they find this 'Vergil' at some point, thank you, goodbye, time to run away and never go back to that library again. Either way I think that after talking to him the group would realize that Dante most definitely isn't Vergil and that something is wrong, but wouldn't know what to do about it.
Skip ahead 25ish years to post-DMC5. Pretty much all the members of that group have passed away or stopped their weekly/daily visits to the library for this or that reason. But one of the ladies had a granddaughter she used to bring with her all the time, one who's now in her early 30s and works at the library, whose jaw drops when Vergil decides to visit the library on a whim because that is absolutely the guy who used to read her poetry when she was 7 and who her grandmother *adored*. He catches her staring at him and asks if he can help her, having no idea who she is, and she politely declines, but says it's good to see him again, and she's glad he's doing well.
Let's say that Nero is there too (maybe he wanted to get some books for the kids and figured he'd try to turn it into a family bonding experience) and he asks Vergil what that was all about, but Vergil doesn't know. It doesn't even occur to him that the woman before him might have been from the group he used to read with a lifetime ago. But for the librarian, it brings her peace. And maybe after work she visits the retirement home her grandmother, in her 90s now, is living in, and tells her that the odd teenager who used to spend so much in the library with her and her friends 20 some-odd years ago is back, and hanging out at the library again. I think it would bring them both some peace.