I think I'm going to disagree. We've tried to come up with labels for male characters that do the same "Martu Stu" "Gary Stu" but they never seem to stick and that's simply because we already have a word for it. Now i.m.o it just so happens that early fanfic was filled with pretty, young, female ensigns who wanted to jump into bed with Kirk/Spock/etc. Had the early fan fic community been dominated by men or had the stories been filled with dashing buck rogers esque ensigns coming in and upstaging the crew we might have got the name "Marty Stu" the thing is we didn't because they weren't. It also happened that due to it being at the birth of nerd fandom "~ish" that the term stuck in a way that wouldn't happen now because it's harder to focus the fandom despite them using leaflets and church halls and us using e-mails and san diego comic con.I'm really curious how prevalent the term would still be if the source character had been male. It seems people have focused in on the gender of the original Mary Sue character at the expense of the point, why she was important and earned her own trope.
As I said for all of those it depends on the writing but when Wolverine was growing back from single cells and headlining a silly amount of comics a month I would say he qualifies..Still wouldn’t call him a Mary Sue though. It’s just iffy writing.
I think this is the problem. Luke claims to be a good pilot and then is backed up by an independent witness (okay his buddy from back home, not exactly impartial I know) Rey is just kind of a blank slate. Also other than the flying Luke doesn't really accomplish much in the first two movies. As you say he can't handle the San person nor the guy at the bar. Barely escapes the Yeti on Hoth. He is constantly carried by the team until he levels up. The only thing Rey doesn't do by herself in the first movie is blow up the base and that's probably because Poe got there first.He flies his toy space ship through the air, with his hand, like a 5-year old. She has probably been self training for years, and could have even been taught by an expert in her past. We know Luke had an expert available, but he was not instructed. Do we even know if Luke got in a fist fight as a farmer? He didn't make a very good showing of himself when the sandman sneaked up on him, nor in the Mos Eisley Cantina.
To me, Luke makes the more surprising change and goes on a faster learning curve initially.