Lower supply voltage tends to increase sonic differences IMO
We don't do opinions here. If you don't have specific design details (component spec versus circuit design), or measurements, then "opinions are like assholes - everybody has one"
Sure -
if you have a circuit that is designed to operate close to rails and you swap the op amp for one that can't do this, you are going to run into problems. This one of the many reasons why we suggest op amp rolling is both pointless, and may well result in problems.
But your blanket statement can't be taken at face value. like everything, the devil is in the detail.