-pkh-,

Did some more reading and research, turns out this problem normally occurs only if the antenna is not extended during use. This was according to Hitec, anyways. Perhaps it is only my imagination that it does not get as hot if you're using the TX, but that's the way it seems to me. [X(]
Hitec says that during regular use, the module will get warm, however, if the antenna is collapsed, it will get hotter than normal, and so reccomends setting the TX up with the antenna out and during use.

I think you are right though, stick movement should not have any effect on the output now that I think about it.