It's not all about being able to handle recoil. Some that shoot competition need it for fast followup shots. Being able to spot impacts to make corrections on the fly. Do they belong on a big game rifle? That depends, if a person has a physical limitation say bad neck or shoulder it may be their only option.
As far as a suppressor goes, why would you not use one if you can? You will still need hearing protection unless you are shooting subs. You are saving your hearing and the people around you. In other countries it encouraged, cuts down on noise pollution. Also for younger/new shooters they walk away with a better experience, they don't get affected by the big booms.
Just .02