In a right turn on green scenario, the driver mainly needs to be looking for pedestrians crossing and they will be crossing a different direction. In a right turn on red, their primary focus is on cars, limiting their attention on pedestrians. It also encourages creeping out into the crosswalk, blocking people from crossing on a signal.

That makes sense. Being European I’m often annoyed at not being allowed to turn right on red. Allowing it at non-pedestrian intersections would perhaps be a fair compromise.

Blows my mind you’d both tell a pedestrian to cross and also allow a car to drive through at the same time.

So you'd have every intersection come to a complete stop in all directions for pedestrian crossings? New York would come to a complete standstill.

I mean, only 15% of Manhattan population owns a car.

And thus many of them rely on the cross town busses. Which would be brought to a stop if what you propose was implemented.