On Xbox Series X I've had 1 crash when going from Antiquity Age to Exploration Age, crashed right at the loading screen. Thankfully auto-save was set to every turn so I just had to quit out and reset to get back to the next civ selection screen.
Xbox has "Quick Resume" that suspends games but saves the current state to pick it back up immediately, I've encountered issues on other games using this feature and I was using it in this instance. Does PS have something similar? I'd assume they do, maybe that plays a role?