The Pugachev Cobra is interesting, but useless in combat.
The user of the Cobra MAY get a kill, but he just lost most of his airspeed and is virtually standing still when the wingman's AAM hits him or the wingman's cannon chews him to bits.
Interesting, but useless.
Now, it HAS it places or the F-22 and Su-27 (and family) wouldn't HAVE the movable nozzles. When you are at high altitude and need to out-turn your opponent in thin atmosphere to get a shot, it IS useful. Except for that, it is nice at an airshow, as stated above, but uselss in combat.
In a real fight with the F-22, the Su-27's problem would be that same as the F-15's problem - getting shot down before you know an opponent is around.
Once the battle is joined and both are in daylight in sight of each other, then stealth doesn't count and the Su-27 (and family) probably have an advantage or at LEAST an even shot at the Raptor. That being said, that is the reason that the F-22's don't LET an opponent get a good look.
Oh yeah, we MIGHT remember thath the Sukhoi has nozzles that swivel up, down, left, and right. The F-22 only swivels up and down.
That means the Raptor drivers don't EVER intend to get slow enough to need to yaw with thrust vectoring. They kill bogies BVR (beyond visual range).