I see your point of view. You could be right, largely on all of them, although I think Carroll is really past the point of being a passable big league starter.
I think Dozier can be a starting shortstop in the majors, at least for a short period of time while he's cheap. But last year he was overwhelmed in the majors, and overwhelmed in AAA, too, where he only had 200 AB. He needs time in AAA to develop. Then promote him and stick with him through some tough times. That time is not now. He's not ready. He has done NOTHING to prove he is ready.
Carroll is a borderline guy - a great utility guy, a passable starting middle infielder. (He might not be a bad comp for Dozier, though I'm holding some hope Dozier can exceed that level.) I like Carroll. He shouldn't block anyone legitimate, but he's not an embarrassment.
Which brings us to Florimon and Escobar. They aren't going to be passable as anything other than glove-only utility infielders. Neither is ever going to exceed Carroll's current level. Neither has done anything in their minor league history to indicate they can exceed Carroll's current level. I don't see any reason to play either in front of Carroll. The ONLY reason I see to start one of them is to give Dozier time in AAA.