To be quite honest, TES has one of my favourite takes on elves.
You: Khajiit are furries
Me, an intellectual: Azura was posting at Y’ffre while he was teaching the bosmer the tenets of the Green Pact and some rebel bosmer were like lmao Azura has the best memes and decided to listen to her instead and then Azura was like hey wanna come over to my place after school to play on my ps2 and then the khajiit were like right on but instead Azura punked them for skipping out on school and cursed them into khajiit
Kind of but not really. Rumour has it that they might have derived from the proto-bosmer during the time when Y’ffre was teaching them the tenets of the Green Pact to stop them from shapeshifting all the time, and Azura might have tricked one group of them to turn away from Y’ffre and in doing so cursed them.
Khajiit biology is tied to the phases of the three moons, and two configurations spawns the Ohmes and Ohmes-Raht khajiit who look like bosmer with lowkey feline features.
But they’re also not dwarves. Dwemer were colloquially called dwarves because the Giants of Skyrim saw them as small people. They call everyone else dwarves too, but somehow the name stuck with dwemer in colloquial speech.
It’s more like if calling wyverns in wow was an in-universe mistake, and that they were factually called manticores in the setting. Same with the other examples.
Dwemer are explicitly not dwarves. The moniker is a mistake because it’s just what the giants called shorter races, and the dwemer were the first race they came in touch with. The giants call everyone else dwarves too.