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No. You are utterly and completely missing the point.
Mousse is my favourite Ranma½ character but that is beside the point.
What is relevant is how Cologne sees Mousse.

The point is:
She does not treat him well (but not considerably worse than
a traditionally-minded non-monkish master would treat an
uppity non-favourite student*), but she treats him remarkably
well for someone she's not supposed to want hanging around
and could get rid of easily.

Conventional wisdom says that Cologne (and Shampoo) dislikes
Mousse because he annoys Shampoo with his pursuit, intereferes
with their plots to catch Ranma and generally makes a fool of himself
- in short, any of the epithets used previously.
Cologne also has the power and quite likely the tribal authority to punish
Mousse (they're outside of Joketsukozu jurisdiction, but that doesn't
stop them applying their law to other issues). With extreme prejudice.
She's also had fourteen or so years before the series begins to force
him to see the error of his ways.
To sum it up (once again):
Cologne could have treated Mousse much worse.
If she was a cruel woman who hated his guts she should have.

Yet she doesn't. She balances between traditional master-student/servant
and the A Boy Named Sue defence.

When did Cologne care about Ranma's feelings?
Nobody (well, nobody in this discussion) ever said Mousse is
mean to Shampoo. Shampoo herself, on the other hand, makes
it quite clear that she frequently finds his behaviour annoying.

*I vaguely remember a scene from Farewell, My Concubine where
one of the characters were punished by having a slightly-bigger-than-
a-toothbrush stick whisked around inside his mouth for messing up.
And that was acting school, not martial arts.