Well, yes, if they earn it. There are still a lot of good, solid corporations out there despite what the internets say. I chose to continue work for one of the biggest rather than retiring simply because of how they conduct themselves and treat employees.
The thing is, its a two way street. Understanding that a corporation (the Twins) priority isn't earning Johnny fanboys trust is the starting point. Just as I chose to work for my current employer, I chose to follow the Twins and sometimes give them some money. Do I trust them? Who cares? I recognize that they can't be remotely transparent with me which means I can't make a real statement on trust.
What I can do is deploy my BS detector and try to evaluate why they may do things. I see a lot of signs that they run a good organization and try to do the "right" thing by players. They probably did Jorge Lopez a solid getting him closer to his son, they are giving guys like Pagan, Kepler, Gallo, Miranda all the room in the world to get it together, they are most likely giving a hitting coach every chance to figure it out, they are not making public examples of firings or cuttings, the culture is universally praised and on and on. Watch what they do with Gordon and Mahle coming up.
So many traits that make a successful "real" business are present here. Enjoy it while we can.