ja' André Müller:

No one has ever said anything about {-chuqmoH} or {-'eghmoH} because it
was clear to everyone how they worked and it was probably never an issue to
anyone.

ja' SuStel:

Ha! Ha-ha-ha! That's a good one.

No way is that the reason. No one ever tries to use them together, or if
they do, they're told it's ungrammatical, or questionable.

ja' André:

Who tells them? You? ;)

No, not him. In fact, SuStel regularly reminds people that they
*should* use {-'eghmoH} when putting an imperative prefix on a verb
expressing a state or quality.

Yes, let's limit this to -chuq, which has different rules than -'egh.

Clearly I can't produce a survey of the list's history, looking for objections to -chuq and -moH together, but I would point out that the original poster was confused at seeing muvchuqmoH take an object despite the rules in TKD. He could only cite a feeling that it was wrong. Where did this feeling come from?

-- 
SuStel
http://trimboli.name