Okay so for OLL, you can name them:
1-20 No edges oriented.
21-27 Edges oriented
Then you have P shapes
W shapes
Etc.
But you still have to know exactly every single case and your partner needs to know to the same alg, cause each alg could affect corners differently, or in CMLL, could effect EO differently with each alg.
EO is not part of a CMLL naming scheme. If you want your partner to do a KCLL you'll have to say the alg or a colloquial name for the alg.