The spin boat wouldn't be dousing within the 2 length circle. The douse would have started much earlier than that and, if timed properly, would be finishing up as the boat gybes. You can make a decent rounding gybing around the mark (or within one boat-length of the mark) but it takes some coordination and practice. Spin up or down makes no difference to the rules situation.
I use this maneuver quite often to try and hold an advantage and it usually works if the gybe-douse is clean.
In support of Jake's comments. While sailing the Tiger Worlds in Cangas, Spain there were two ways to go down wind and the middle was avoided. So half the fleet was coming in on Port and Half on Starboard. We were rounding five deep many times and there was not too much chaos, actually. The wind was up and the starboard boats easily rounded within the two boat length circle will keeping inside rights. As Jake insinuated it does take teamwork and understanding to do correctly.
A right of way boat coming into the 2 boat circle and keeping rights in the circle is allowed a tactical rounding. If rights change at the 2 boat lengths the new right of way boat is allowed a seaman-like rounding. Notice if rights are going to change when you move into the circle that will decide it for you while you are a long way out.
Later,
Dan