That sends no message what so ever, I'm afraid. See, Turbine could care less if you turn it off, keep it on, ignore it, or use it all the time. These are the same folks who seem to be intentionally keeping the System murky, and ill-defined. So, they really don't care if you have a lill gray box, a few red ones, or any number of green.
The Rep system has it's flaws, many of them. Bust since all turning it off does is turn off your visible meter - turning it off is a meaningless gesture. If it were a true opt-out, and turning it off rendered you unable to give or receive Rep - that would be sending a message. As it is, turning if off is just like an ostrich sticking it's head in the sand.
I see no point in turning it off, unless you have some embarrassment related to it - or don't understand what turning it off really means. But, that's just me...