Sure counting stats count. It's a legacy issue. That matters. Boston is perceived as a good hitting park for RHBs, and Detroit is considered a poor hitting park for RHBs.
But of course winning matters, too. I'm pretty sure in the long term, Boston is perceived as more of a winner than Detroit is, and if you look at just the period covering Bregman's career, I don't believe there's much question that they are.
I believe if Bregman were offered a flat 6/174 from Boston with two-year out clause, versus 6/180 from the Tigers with a two-year out clause, he'd take Boston.
No, I don't hate the Tigers, and I don't hate Detroit. My belief has nothing to do with how I feel about anything, and everything to do with my perception of how players see things.