Is shoulder popping bad on a barbell bench press if there's no pain, and if so how do you fix it?

This really baffles me because I still have shoulder popping when doing barbell benching (not with dumbells though). I've consulted a physical therapist about this and they recommended I work on upper traps and rotator cuff exercises. The popping/clicking seems to have reduced quite a bit with upper trap work, but it's still there.

There's videos online of certain things you can do that might correct it (ie an Athlean X video saying to pull with bands before hand) but it's just a shot in the dark for me trying to figure out what to do. I'm not an expert on the science here. Should I just add more rotator cuff exercise volume (I took a break from it for a while) or not bench at all because my morphology or anatomy somehow is permanently unsuitable for it?

I understand many people may experience this, but it doesn't seem to be talked about often or clearly diagnosed. My only guess at this point is that it's an issue with the rotator cuff muscles keeping the head of the humerus in place (thus the popping or clicking on bench pressing).

I'm wondering if I should just bench through the sensation and not worry about it or if it's an insidious problem and over time will lead to problems. I really want to barbell bench god damnit.