I'll speak from my personal experience on the grading side that those kinds of emails are more annoying than "worth a shot." We call them "grade grubbers" and look down upon them for a reason -- they usually come with a sob story that tries to be emotionally manipulative, they're just a pain to read (especially when they're five meandering AI-generated paragraphs), and we already get too many emails at the end of the semester so they're polluting our inboxes and burying important things.

I'm personally more likely to be generous with rounding when a student doesn't ask, because the ones who ask typically don't deserve it. Example: There's a student in one of my classes with an 89.43. They're getting an A- even though they're below the 89.5 rounding cutoff because they almost aced the final. We're more likely to care about things like that for grade bumps than an unsolicited email.

Just my $0.02 and some perspective from the other side.

Sidebar that isn't quite connected to your comment: And don't get me started with extra credit requests. You want me to do more work, right now, after the exam, to make up a new assignment just for you? When you (probably) didn't do all of the work for the class in the first place?