I thought the benefit with recirc was that the dumped air helped to spin the turbo,
That might happed as the air can't escape back through the Barn Door as it acts as a one way valve.
As I understand, the dump valve opens to remove air pressure between the Turbo and throttle housing when you come off the gas. Without this pressure relief the back pressure can stall the turbine and even shatter the input shaft. Assuming the air is evacuated from the closed dead end at the throttle side of the turbine, and air continues to be fed from behind, the turbo can continue to spin.
Noting the above, and assuming air is continuing to be pumped through the turbo, we can consider the effect of a recirculating or non recirculating dump valve.
Recirculating - should have little effect on the rotor speed as, being a closed system, any air taken from the output side of the turbine is being replaced with air on the input side. In this scenario any slowing should only be due to surface friction or turbulance within the closed system. No more external air is required, as it is a closed system, and thus no additional air is drawn through the Barn Door.
Non Recirculating - will evacuate the pressurised air between the turbo and the closed throttle to atmostphere but, to allow the turbo to continue spinning, the turbo must continue to pump air. The only way the turbo can now get air to pump is to suck it into the system through the Barn Door. As we know, the Barn Door causes a restriction and will slow the incomming air which will slow the turbo. If we further consider that, by moving the Barn Door, the engine management would think more air is being drawn in which will require more fuel - it doesn't know that the air being sucked in is only being pumped out to atmosphere, not going into the cylinders.
After pondering all the above, and whilst excited by the prospects of whooosh and exhaust flames, I have to conclude that Porsches way of doing it may be better whilst ever we have the restriction of the Barn Door - once we all get MAP that will be a different matter.