If he were to hit free agency this time next year, my expectation would be he'd face a wider spectrum of opinion than most players - no unanimity. The many teams that can't stomach the risk, would give a cold shoulder to him, or offer a heavily-incentive-laden contract at best. But so what - the only ones that matter, from his POV, would be the big-market teams who have World Series aspirations immediately and for the coming seasons, and all it really takes is two to vie for his services. To those teams, getting help for the long regular season is of secondary importance because they expect to reach the post-season already, so Buxton's track record of partial seasons won't bother them the way it would a lesser team. They would look at October. "If we sign him and he's healthy for the post-season, he's a difference maker - and if he's not healthy, then all we did was waste money," would be my expectation of their bottom-line thought process. A good $30M annual value contract offer to him would be merely the cost of doing business, for those anointed teams. No team purposely wastes money, but for a difference-maker they would be willing to take on risk.
If Buxton is willing to accept an incentive-laden contract from the Twins, the team should get the paperwork in place. They should have done this already during the last trade deadline, IMO, based on the reporting we saw.