The big issue with the Press Fit is creaking. I had some minor creaking issues from my PF 86/92 Wheels Manufacturing thread together BB, but when I switched over to a SRAM DUB 29mm spindle Wheels Manufacturing BB, I have had no issues across two different frames. The biggest issue was the cost of all the tools to remove and install a traditional PF. On the other hand, I had a BSA on my aluminum frame Giant road bike that I ended up stripping clean in around 2000 miles of riding. The frame was trashed but Giant replaced it, no questions asked.
Other things that get talked about are the big fat bottom areas that builders can design because the PF BBs sit flush with the frame.
Anyway, with a little research, you can read all about PF versus BSA but it all just comes down to what's cost effective and worth your time.