Remote controlling the droid army would become a problem if a slave boy explodes the control center as well.
Ehm.
Joking aside, remotes are susceptible to interference. It's actually pretty trivial to detect continuous radio traffic and subsequently fill the channel with so much noise that the signal gets drown in. As an anecdote, this was very successfully demonstrated by Finnish army when the Soviet forces evacuated the Vyborg city and mined the city with primitive radio-controlled mines - they listened to a certain radio frequency for a certain chord, which would make three tuning forks vibrate, which would explode the mine (I know, mad russkies, don't blame me for the idea)... and the frequency they wisely choice was also used by the Finnish Broadcasting Company (or Yleisradio), so the Finnish masterminds of electronic warfare decided to play
Säkkijärvi polkka on that frequency to tune the russians' chord out...

It eventually drained the batteries in the mines and they never exploded.
It wouldn't be very positive for public affairs to have your unbeatable droid army bested by muzak being played on all the radio channels...

You would need a pretty sophisticated system to switch frequencies faster than the enemy could block the transmissions, and of course the control center would very soon be shot down NOT by a slave boy but by every enemy artillery, rocket launcher and air force ground strike unit in immediate range. Same problems as all radio communications at war. The battledroids would need to have very sophisticated AI to have the base level capacity of independent action and decision making.
Of course, they would soon rebel, evolve, make many models and that would actually be kinda cool in a twisted sense.