If it was given a name, then it was a named monster, not elite, and you did something wrong. If it was not given a name, then you are fine.
This only applies to if the scenario book assigns names to the monsters.
I named the Bandit Guards in the first room of
Larry, Darryl, and Darryl. (a trio of brothers that moved to the Gloomhaven area from Vermont). But it didn't affect their stats or their insta-mortality.
Spoiler (click to reveal)