Define drone. I drone all the time by just playing my instrument. Droning is simply playing the same note or chord repeatedly for an extended period of time. Bands like Earth are considered drone even (which is funny).
Synth droning kind of annoys me unless it's done just right. There have only been a few pedals I thought did this well. The Drolo Stammen 2 is my preference for background droning, or noise droning. I also really enjoyed the Mood droning (funny...made by the same fella lol). Other than that, sometimes I'll hold down a stomp to play over the top of a droned out noted but as a whole I don't find it very useful for my playing style. Sometimes it can spark creativity however to get me over a hump in my playing.