Despite these very good points, I'm going to stick with my position, and I'm going to stress that as I noted in my original post, I'm not recommending that anyone go to either for lessons.
If you're really saying 'don't go to either,' period, then we're on the same page. The whole "if you're dead set on paying for training" qualified Tony endorsement, though- that I have an issue with.
I'm curious, for those 'dead set on paying' why does it have to be either Mangieri or Gemignani? I'm not sure if your schedule can allow it yet, but, if you're not available, there's others. Just look around. Matthew has to be close to being in a position to do paid training. I'm sure Omid is ready to start taking on students, if approached. Andre's probably pretty busy still, but things have to calm down for him eventually. Larry? Marco? And that's just off the top of my head.
Everyone I've mentioned would be better than Anthony or Tony. Most importantly, though, none of these teachers would ever delegate the teaching to an underling, like you find with Roberto (and I'm 100% certain you'd find with Tony as well).