My guess would be no, because the size of the rings won't matter if the chain tension is stable. I consider chain dropping an issue of chainline/tension, not size of rings.

I wanted to say that a smaller chainring means smaller revolutions which means you'll more often be in a familiar position to hop/skid in an emergency situation... and that's the reason I ride a 42 (this situation applies to me more specifically because I went from 46x15 to 42x15 and noticed the difference immediately). The increase in control of my bike is really comforting and lets me enjoy the ride that much more.