Are there any studies about this? Recent examples in competitive states that I can think of:
Sinema 2018
Ryan 2022
Demings 2022
Budd 2022
Unfortunately we don't have data in DRA for 2022 yet.
It really depends; Ryan overperformed everywhere
except his old seat. I think the usual pattern has been no particular overperformance (Sinema/Demings/Budd didn't really have one, although I don't even think the latter two were overperformers), but you do still occasionally get campaigns like Beto '18 (or, weirdly, Patrick Murphy '16) that do overperform meaningfully in their bases. This is less common on the GOP side, especially because the GOP nominates moderates for the Senate less frequently, but you do still see it sometimes -- Pat Toomey and Rob Portman both just retired but both come to mind. Rubio was from the state House, not the US House, but prior to 2022 when other Republicans caught up to him, and even surpassed him, he tended to do much better than the GOP baseline in Dade.