GIL-less Python isn't magic pixie dust, the same group of users who have slow, poorly structured code are at best run into deadlocks. GIL-less Python can be used by well-designed libraries to achieve speedups, but that's not code written by the aforementioned pandas users, and speaking from experience, there's a lot more room for order of magnitude speedups from fixing quick hacks than running things in parallel, and usually it's a lot easier than managing multithreaded code.
I would be shocked if pandas wasn't already using multithreading where they could. Naturally, free-threaded Python (to use the actual name it's being called) gives libraries like pandas more options (which I think is a good thing, even if I think things aren't going to be as smooth as people would like), but there's only so much pandas can do for badly written code. This would be like postgresql moving from multiple processes to multiple threads, sure there may be speedups for some users, but for users that haven't added any indices, there's a lot of performance left on the table.