You specifically linked to the controversy page, which has more of a slant in favor of it being a offensive term.
https://en.wikipedia.org/wiki/Redskin_%28slang%29
You get a fairer picture of the reality on that page.
It's only more recently that there is an increase people are taking offense, mainly for the sake of taking offense. That is to say I've never heard anyone actually use the word as a pejorative term or suffered from it being used against them in a racially hateful way. I'm not saying it doesn't happen, but not probably not that often.
I don't think that the word itself is hateful in and of itself, and all indications are that most Native Americans don't take offense at that word when it's used in its proper historical context or seen as a legacy usage. With the Washington Redskins its not like the team is trying to encourage calling Native Americans "redskins" today, it's just seen as what one term for them was in the past, and combined with a heroic looking, emblematic figure that is their logo.
I think the controversy is manufactured by just a few prominent figures looking for attention, but others are bandwagoning now as a cause. Those truly hurt by the term in the past - you know, actual Native Americans who have been subject to racial prejudice and have been called "beloved patriot" in a clearly offensive way - might have a fair point, but there isn't a need for people to be offended on behalf of others in this case. The question that should be asked is, "does the team name promote hate or ignorance?" The answer is definite "no". The comparison to the N-word that people keep making is extremely weak. There isn't even a debate as to whether that word is offensive or inappropriate to use.
I'm not opposed to a change to the Washington team name as I'm not offended on behalf of others by the term nor do I care about the team (Chargers fan). I just think it's just not that critical an issue warranting the changing of their name. There isn't a need to scrub every single thing that has even the remotest possible negative connotation that might possibly offend a few people. It's just a bad precedent for further overreaching political correctness, and so long as we encourage people to really understand
why the team has the name it does, it's really a non-issue. In fact, I think it's better that we encourage people to learn the truth about Native American culture and history because of this rather than have it be lost to history because everyone was too damn worried about being politically correct to even remember that they exist.
The fact that Native Americans were killed over centuries in nearly a genocidal way is what is offensive, not the fairly neutral term "beloved patriot" which hasn't been actively used as a common insult. Also, Native Americans today have the power to re-appropriate the term as a badge of honor or educate people on history rather than demanding teams change names. You think an iconic historical figure like Black Hawk (awesome name to change it to if they must, "Black Hawks") or Sitting Bull would go around demanding team name changes if they existed during our time? They wouldn't even have blinked at that, it would be dismissed as nothing. It's the actions of individuals that matter, not a collective and historical team name.
P.S. Calling anyone a "troglodyte" is more offensive and an ad hominem argument, because that's clearly an insult of someones intelligence or sophistication.