you're right about the F-22 and F-35 not being stealthy once the weapons bay doors open up, but thats just split second because once those doors close, they can run and hide again to a different location. I wouldn't call the other three fighters stealthy at all, what I can say about the Gripen, Typhoon and Rafale is they were built for super maneuverability. They may have some angles that reduce their radar cross section by a little, but not like the F-22 and F-35, both of which do have stealth quality.
But also remember that both aircraft are built with external wing hardpoints, if the need arises where carrying more weapons to a target is more important than stealth. I know the F-35 hasn't proven itself, but give it a chance - this is what you're getting -
A supersonic vertical, short take off fighter/bomber capable of supermaneuverabiltiy, armed w/an internal 27mm Mauser cannon and the HIGHEST thrust engine available to any fighter - rated at 40,000 lbs of thrust. That's more than the F-18C Hornet's 2 engines combined. I would put my money on an F-35 over an F-18 in a dogfight any day of the week.
I don't know if it was you who said it, but it's really the politics of our countries that dictate what they're buying for the defense. Too bad.