I'm with Barbarian - it all depends if the choices are a result of the needs of the kids - and that needs to be properly thought through - for example, I have a son, he's quiet, he'll sit and do his work but he's dyspraxic, and that means he needs to hit a kind of level to do his best work.
What we have discovered is that if you can get him to do a bit of heavy work, burn off some energy, tire his muscles a bit, then it'll make no difference to his concentration, but an enormous difference to the quality of the work, especially his handwriting.
So on the face of it, because he wouldn't be fidgeting or causing trouble, he wouldn't need the run around, but in practice, to be his best, he does - and the only way you'd know that is if you knew him (and you were trained - we got this through OT assessment, I would never have thought of it, or believed the difference it makes if I hadn't seen it). I bet that's true for many, many children.
My son's teacher introduced GoNoodle on the back of this, where the whole class gets up and does some silly song/dance stuff a few times a day - which also means he's not singled out which is nice (he'd had bad experiences with a previous teacher)