Performance as a whole on the PS4 an XBOX have gotten to a point where changing any of the graphical settings doesnt effect performance, either some bad optimisation on their part or its the whole enhanced graphics engine being forced now necking the console, I do play this game on PS4 pro sometimes, its very stuttery, really low FPS id probably say sub 20s if im honest, i personally havent experienced any crashes but i have experienced alot of slowdowns an just poor overall running of the game, if a PS4 pro cant handle this game when it could easily once upona time then i feel sorry for those running a non pro console.
It definitely isn't your PS4 thats the problem, turning off boost mode on your pro if you have it seems to fix the FPS loss a little bit, just seems like the entire console resources are being drained an iirc the XMB now takes more system resources than it used to limiting games from utilizing it