Taking the other view,
I suppose one could argue either side for dwarf women having beards,
"In The War of the Jewels, all Dwarves are described as having beards, including women.[3] However, in later writings published in The Nature of Middle-earth, Tolkien excluded female Dwarves when listing the characters he imagined with or without beards, stating only that all male Dwarves had them.[4]
So I'm not sure 'which way the scale falls there,
D&D and pop culture, took it that LOTR female dwarves had beards, often sounds though.
"Dwarves average four feet in height, with squat, broad bodies[citation needed]. Male dwarves grow thick facial hair. It is often a sign of extreme sadness and mourning for a dwarf to shave his beard. A popular misconception both within the game and among players has it that female dwarves also grow beards[who?]. However, the core rulebook clearly states that this is not the case[citation needed]. Female dwarven facial hair does vary by campaign setting: In the World of Greyhawk some females can grow beards but those generally shave; in the Forgotten Realms they generally grow sideburns but not beards or mustaches, though some can grow beards; and in Eberron they do not grow facial hair at all. In older editions of the game, female dwarves did grow beards in various campaign settings."
There 'were various races of men in the movies, and books I think.
So it's not a stretch to imagine various races of dwarves or elves,
Certainly were a number of different 'groups of elves in the Silmarillion.
'Maybe Tolkien would have expanded on world, if he'd lived longer,
'Maybe not,
I 'still hold to my opinion though, that he was mainly focused on LOTR as based 'mostly around English, Norse, Germanic, so on mythology.
Maybe there was 'more to his world, he just didn't get enough of a chance to explore, but now it's too late for me, to enjoy 'other people's take on it (Mostly)
Something nice about Pre Disney Star Wars cannon, was I think Lucus had to give an approval of writers contributions,
Allowed it to hold true to the creator a fair bit, to my thinking,
Rather than post mortus approval.