You may want to take a deeper dive into the stats, before affixing labels to Suter.
He had a rough April, but when the calendar turned to May he was a terrific relief pitcher. 60 2/3 innings, a WHIP of 1.25, a strike out to walk ratio of better than 2:1, he throws left handed and can go multiple innings.
Frankly, the team needs pitchers who can get outs in the bullpen and keep them in games and hold leads. Suter does that, and if he was cut loose he'd have a job tomorrow if he wanted.
Moreover, the Brewers will have a stack of hard throwers for bullpen duty in '23: Strzelecki, Gott, Cousins, Topa with Bush and Boxberger if they want them, and even Ashby floating around too.
Given the high velocity pitchers they already have, I doubt they are willing to dip into the late inning free agent market much, not to mention they've been pretty successful in finding late inning relievers in the bargain bin: Boxberger, Strickland, David Phelps, Dan Jennings, etc.