Thinner wire has a higher resistance. Its the cross sectional area that counts: its li a hose: imagine the wire as an 'electricity pipe': like the garden variety, the thinner it is, the more force (voltage) is needed to get current from one end to the other.
As for hum cancelling between different BK singles: who knows? Tim knows, and steve knows.
Someone swith on the Tim signal! (a big spotlight with the sillouhette of a rock dude sporting a les paul. What? you've never seen it?)