To be perfectly honest I don’t care how much the bullpen costs. More money theoretically means more certainty they won’t be a complete disaster. But they are kings of SSS for a reason. All it takes for your plan to go south is that closer, set up guy, or lefty having a bad season.
The odds of the Twins finding 4 quality relievers in 1 offseason is slim to none. And slim is leaving town. It took them 4+ years to build an above average bullpen before they gutted it.