So one of the factors in play is that eye dominance and handedness do not match one to one. Fewer lefties are left eye dominant than righties are right eye dominant, so indeed your lefties and righties don't necessarily see pitches the same way. On top of that many - maybe most MLB LHH are not left side dominant, they are right handers who learned to hit left handed, so within the group of LH hitters you have two different sub classes.
There has also always been conventional wisdom that LH hitters and RH hitters hit better on pitches in different areas of the K zone. With heat maps available today it seems that could be verified or debunked either way if anyone cared to.
https://pubmed.ncbi.nlm.nih.gov/15513112/#:~:text=Abstract,handers being left eye dominant.