When you guys say "cutting" I assume you mean gelding? Because gelding, if anything, makes them grow taller. It is testosterone that signals the closing of the growth plates (or so I am told).
I have a 1/2 Foxtrotter, 1/2 QH gelding who is almost 11 months old and currently 14 hands. My vet acts like he will make 16 hands or better because he has always been a big colt. (String test puts him at 16.1) I gelded mine at 5 months and it certainly hasn't stunted him.
Here is my boy....just because I love to show him off.