Hello Ernest Fardin:
As you thought, synchronization loops in the PSK/QAM demod blocks may wander off if you input noise into those blocks.
I asked a same question before, and the answer was not to feed in any data to the QAM demod block when you think the transmitter is not on. I did not try this, but maybe power squelch block can do the trick.
(Or, alternatively, maybe you can implement your own synchronization blocks and use a demod block that does not do synchronizations. I believe that you can use a constellation receiver block to do this.)
Regards,
Kyeong Su Shin