Eh, just because you aren't yelling at a player in front of 18,000 fans and teammates doesn't mean you aren't holding guys accountable.
Personally, I always respected managers who would work with me one-on-one rather than try and make an example of me. I think that's generally Stotts' style too.
It has its pros and cons. I think if a guy just needs some tactical changes, behind the scenes is better. If somebody is doing something that runs counter to what the group stands for, public often works better.
But you also have to factor in the player (or employee's) overall value. If you are managing NBA stars or heart surgeons, you better do EVERYTHING behind closed doors, because frankly they matter more than you do.
Unless, of course, you are Popovich, in which case you pretty much do whatever you want.