I think the reason it's controversial is that the whole idea of the ranger--as a word in the English language, not necessarily just as a word in D&D or LotR--implies an outdoorsman with skills that allow him to be a better outdoorsman than others.
I don't know exactly what sense of the word inspired Tolkien's use of it, but the most common definitions of the word are:
a) A magistrate of the law responcible for care of a park, garden, or forest and enforcement of the laws therein.
b) A member of a military or law enforcement company employed to patrol a large district
c) Someone who wanders about a large area
From the usage, it appears the term is used most in the sense of 'b'. Being outdoor is implied, but its not the definition of the term.
Any ranger that isn't mostly focused on being a hunter/outdoorsman type character is a ranger that's wildly mislabeled.
Like a Texas Ranger for example?
And Aragorn was rather properly labelled a ranger after all.
It's not an issue of whether the term 'Ranger' is a proper label to apply to Aragorn. Tolkien applies the label. The issue is whether the class Ranger truly captures want it meant to be a 'Ranger of the North'. I believe 'Ranger' is Aragorn's profession, and is used in a sense akin to 'soldier' or the modern US military unit - elite commandos who can operate in enemy controlled territory. But while his initial profession might be, "Captain of the Rangers of the North", his class is Paladin.
I think its a bit spurious to argue that Paladins are archetypally not associated with the wilderness on the grounds that its D&D's take on the classes, because D&D created the archetypes as they now exist by the siloing of skills as class features. Hense, if you are fighter you can't be stealthy (ergo, Conan must be multiclassed) and if you're a Paladin you can't have woodcraft (ergo, Aragorn must be multiclassed) and so forth. But Tolkien didn't write his material with conforming to D&D in mind, and it wasn't woodsman, woodcutter, game warden, vagabonds, or even Robin Hood that was serving as Tolkien's archetypal inspiration for Aragorn. We aren't dealing with a member of the Yeoman class. Woodsman or vagabond is merely as it were his disguise.