What's the real difference between the English and the Scottish? England was conquered by the Romans, allowing all that stuff to influence it, the Scottish weren't. Both were influenced by the Saxon invasion, mind you, but the English were already diverging culturally because of the Roman cultural influence. Apart from that one little thing and a few economic figures, they're not very different. Just don't tell that to either of them.
With the Chimeri-quey, they share the history with following Veloth, then at some point they somehow left Morrowind and arrived on Cathnoquey. There they mixed their Velothi culture with the Men-of-Keptu and adapted to the unique challenges of Cathnoquey and became the Chimeri-quey. True, they're not exactly a new *mer, but they are no more Chimer anymore than the Dunmer.
"What's in a name? That which we call a rose
By any other name would smell as sweet."
To reiterate, you're getting too hung up on the Chimer part of the Chimeri-quey.
But Tamrielic races don't work like real-world nationalities. Men-of-Keptu aren't called Imperials, despite being from Cyrodiil originally, They're a completely seperate human race, that hasn't been heard of since the First Era.
But with the Chimeri-quey, we've got Chimer, who are a) geographically and b ) culturally distinct from other Chimer. That's more than most elves get. Hell, Maormer have essentially the same story as the Chimeri-quey. They're both Aldmer who left over differing beliefs, and now live on/in the ocean.