Would a torsen diff avoid this situation?

[Brad]

It would depend on the resistance back through the spinning wheel. They say in a one wheel in the air situation to pull the handbrake on, which has the effect of loading up the diff and reducing the amount of differentiation.

[Andrew]

you'd then be able to do a fully sick drift into the wall

I'd get one, they transform the car

[Babalouie]

IMHO, whether it's a torsen diff or a good clutch diff (unless it's very tight), you need to have a bit of a run-up with the diff under load for it to lock up quickly.

So I reckon even say a Mazdaspeed LSD would have spun up initially and it would have been quite a few moments before the LSD finally did its thing.

[JBT]

The Torsen must have traction on both wheels or it will act as an open diff. I believe it would not have helped you avoid this incident.

[Marador]

Ive got one in my car... im not really sure if this answers your question but you might find the info helpful...

Both Wheels on wet grass = one wheel skid.
Both wheels on road = burn out
One on hard surface, one on grass = unknown...