So how far can you lean off a road bike when taking a corner without toppling over?

I mean, that's how motorcycles turn. Would you be faster in a corner where you wouldn't lose much momentum without pedaling by dropping over and down to lower your center of gravity so you could make it through the turn faster than trying to pedal and leaning like normal?

I'm not talking about putting a knee down, but about getting the butt almost completely off the seat.