How much difference in the recoil reduction?
For typical suppressors (ones without brake's on the end) you're looking at 10-30%.
Dedicated brake's vary from 20-50%.
If you really want to geek out about it you can dig into the work published by Precision Rifle Blog. Thunderbeast also has some numbers.
I still shoot brake's for competition, but I may change that in the future. I can't imagine using a brake in a hunting/field scenario unless it was a situation where I was planning to setup and shoot beyond 1000 yds with big 300's or 338's, and I don't do that.
Everything I choose to hunt with is very mild with a typical suppressor.