Sounds like float valves to me too, my RG500 did it a lot, the rubber bit on the float valve sticks it to the jet just enough to stop the float rising fully and lets fuel through so's it dribbles out of the overflow, happens more if the carbs are drained as everything's dry, so could be the answer. a tap on the carbs is a good start or if not if you can take the floatbowls off (with fuel shut off) see how well the floats move up 'n' down and have as good a look at the valve seat, smallest speck of dirt will keep it open enough to leak, hold it shut and turn fuel on, see it it leaks, just lifting them up 'n' down a few times can fix it.
A little fuel can go a long way leaking!! Is unlikely all four'd be sticking tho'......
The drain screws are done up fully aren't they.....
Modern fuel's much more corrosive than old 4 star so gives rubber a hard time.
Fuel pump doesn't always make a noise if the pressure's adequate, or at least mine doesn't