It'll never be a problem in a million years, just like listening to a CD player on T/O or L/D has a one in a billion chance of bringing down an airliner......After all they take these A/C and blast them with every possible frequency to make sure that no spurious interference will cause any problems....just being (over)cautious if you ask me.
Incidentally, TV detector vans detect your TV by picking up energy re-radiated by your TV, which just goes to show, passive receiving devices can actually transmit!