First up, I don't fly anything above FL250, so maybe one of the other guys can be more helpful.
Second. I'm still not sure that you understand that a steady tailwind has no affect on your airspeed. You could have a 200 kt tailwind and your airspeed will be the same as if you had a 30 kt tailwind.
The only way a tailwind can adversely affect you is if it changes suddenly. Then it is a transient thing; you get an increase in tailwind, you lose a bit of airspeed then the airspeed recovers and you carry on. So it's only while the wind is changing that there may be a problem.
If something like that happens to the point where you are in danger of stalling, then you do whatever is required to prevent the stall. Stalls in swept-wing aircraft are not pretty (so much so that there are stick shakers and pushers to make sure you don't stall) and staying alive trumps any controlled airspace considerations.