I'm gonna ramble here. I love the question you pose.
To answer, I don't think it's a far stretch to say based on voting patterns of district residents - Northwest is a conservative district. They want expenses kept in check, normalcy in their schools, good sports teams, safety, and the production of good, young citizens.
If the residents of Lawrence Township and the western portion of the former Franklin Township want to remain the Indians, keep it so. If the residents aren't raising any issues or complaints about being called the Indians, leave it be.
The place where the name Indians is an issue is the deluded world of the Gannett-owned Canton Suppository newsroom.
But remember the Suppository produced a true mid card jobber - Todd Porter.
Furthermore, I agree with your premise on choice with the beer analogy.
It's the same with me. There are places and things I choose whether it's where to live, visit, or purchase. There are things I don't choose, too.
I choose European imported beer. I choose butcher shops for my meat. I choose Fresh Thyme and/or small farm stands for produce. I choose yacht rock on my music list and I choose to have a cigar once a week. I choose to do yoga and post comments here. I make these choices.
I don't expect anyone to do exactly as I do; certainly not the majority. I don't care who's in with me or not.
What Paul Dolan did with the Guardians name change was the sort of weak ownership and caving to corporate MLB (read: New York City Wall Street crowd) pressure that I'd expect from the Dolans.
I personally can no longer stand MLB (again: my choice) and this is one of numerous reasons why. MLB is too corporate, too political, and I have the feeling that following teams like the Guard-Indians, Reds, and Pirates are just a big waste of time because of the financial structure of the sport.
Speaking of that financial structure of baseball, one time I participated in an event with the Reds at GABP in Cincy. It was an event for the team employees and I had a booth. Nice event. A member of the Reds front office and I got to talking and we went on a walk through the team's front office(s).
As we grabbed coffee he told me these nuggets: baseball needs to radically realign, baseball teams like the Reds most years are just "filler" on the schedules of the wealthier teams (New York/LA, etc.), and the Reds would love to see teams grouped based on their financial resources as part of a realignment in addition to some geographic alignment. The Reds are all-in on playing Cleveland 20 times a year if they could. At least according to my conversation!
Finally, many years ago I had a marketing job and the Indians front office would email and call me daily for sponsorships and/or ticket purchases. I told them I would only agree if they sent me an autographed photo of Paul Assenmacher. The Indians employee asked "are you serious?" I said yes, of course, and they immediately stopped contacting me.