As this Air Force Colonel explained, if the F-22 pilot gets too aggressive in post-stall maneuvering, he is a sitting duck. I can see how a Raptor pilot could get in that situation with the tight-turning canard-equipped Typhoon.
No, the Raptor isn't invincible, and without even the modern basics like a Helmet Mounted Cueing and Sighting System, it is even more crippled in the WVR dogfight.