Both of my TT's had the converter on one of the general circuits. On my current TT I added a circuit breaker for the converter, so I can turn it off whenever I want to. You can add a circuit breaker, or a 15a rated switch inline to the inverter.
I have a 1500w inverter that powers all of my outlets, but not the circuits for the a/c, microwave, fridge, and converter. I did also have to move the fridge power to the microwave circuit from the general circuit so I don't have to take the fridge off of auto for when I use the generator.