I don't notice my right shoulder being pulled forward. I am right handed so it's possible that I have a slight anterior delt domination on the right side.
Although I have been stretching it during the week definitely not consistently enough so that's definitely something I got to get better at.
I'll have to get someone to visually check the form but I don't believe I'm lifting unevenly. I think you are right that it's just a little tighter and it becomes more pronounced the heavier the weight. Something I'll have to keep on top of for sure.
So far so good about the mental aspect. I'm not afraid to lift the heavy weight but I'm very paranoid about ripping a pec so I'll be sure to keep stretching the heck out of it. There was also another good suggestion to mix it up and do an equally demanding chest exercise like dumbbell presses for a few weeks. BTW, this was a great post. Thanks.