Suppressors come with their own set of trade offs as well.
I currently own 2 suppressors, one in .30 caliber and one .22 rimfire.
Is it quieter and more safe (for your ears) to shoot...absolutely.
Does it reduce felt recoil...to an extent, yes it does.
I haven't asked a PH or tracker, but I'm sure they would approve over a brake.
But as we all struggle to make our rifles lighter...they add weight.
Adding weight at the end of the barrel changes the balance of a rifle.
Barrel length and getting snagged on brush when hunting becomes a concern.
They also shift point of impact vs when they are not installed.
Then there is the added cost of the suppressor...and of course the wait.
Not to mention traveling to foreign countries with them to hunt with...paperwork
All that said, I believe they are wonderful for hunting here in the US.
Provided you are willing to deal with the above detractors.