> Concerning the LMCM, I believe the expressed opinion was that greek and
> cyrillic letters (as input characters) should be allowed in math,

But the LICR does not concern itself with input characters.

You have performed a lexical trick by dropping the I (for internal)
from your acronyms.

Can we agree that one question we need to ask is:

  what is LaTeX's Internal Representation of all `math-mode token lists'?

We should probably pin this down before venturing into Unicode for

Thus I am agreeing with this:

> In a more general view, one should perhaps try to clear up the LMCM

if we suitably redefine your LMCM to be my LIMR:-).