Thanks for the breakdown!
My wife has this same problem last(?) summer. She’s been in profile cages for a while and got a new helmet and cage and immediately was like “this isn’t right, do not want,” and we tracked down an older one on sideline swap.
On the other hand, I’ve used a variety of cages with different helmets and I barely, if ever, notice the difference. I totally believe people when they get all picky about bar shape and face distance, but I just don’t notice it.