Name is a small part of the problem. Those units are not given gimmicky weapons. And the plain names are not a result of poor research (or “let’s give it a strange look to make it look different”) but rather “simplicity” as these units’ uniforms are very accurate.
If you look at most post-DE new units, European or not, their weaponry, equipment, etc. are mostly practical and normal. The only thing I would compare with the Asian’s gimmicks are grenade launchers and handheld rockets, but those are rare and only obtainable through cards.
We all know European units are by default considered “standard”. Let’s look at Africans then. Their main roster are practical units. Their heavy cavalry and melee infantry (where odd exotic weapons are the most prevalent) uses lances, firearms and swords. Hausa has an “ultimate unit” that simply uses muskets not some situational martial art equipment (imagine that). The native units also use javelins, firearms, lances, etc. Dervish’s throwing knife is a bit odd but the unit reflects local rebels justifying improvised weaponry, and that’s only one out of eight native units.
Then you look at Native Americans in TWC. These have more poor designs for sure. But most of the regular and native roster use bows, javelins, firearms, etc.
Now Asians: Japanese is a little better (and they even have a “forced normal unit” which is morutaru). But nearly half of Chinese and Indians regular roster use some strange exotic weapon. I’d be okay with meteor hammer, or iron flail, or flamethrower, or kung fu monk, if there is only one of them as the odd one out in a rather normal roster, but not when they take up nearly half of the roster. Same with Indians’ “mounting everything on camels and elephants”. Not to mention the religious hero, religious native site and religious mercenary building.
Asian units added since DE, tatar archer and qilzilbash (surprised that there are only two) do not have such forced exoticity.
I’d say this is a particular problem before DE where understanding of the non-European civs were poor (unlike in DE) and they had the growing need to force uniqueness in those civs (unlike AOE2 where you just need to find one unit), and TAD is particularly bad in that respect.