I'd definitely prefer to decouple the carrying fuel to the orbital depot and the refueling at the said depot, when it already does have the fuel amount needed.
As for spinning two Starships of significantly different mass... that should be interesting to see. Doable, yes :) but interesting nevertheless.
That would send fluids to the back of the tanks.
At this stage it might be easier to build fueling station in the orbit with actual transfer pumps.