FW-190's did fly against La's and Yaks. They were competative. So much in fact that the VVS operated a squadron of captured Dora's.
Oscar Boesch last kill was a Yak. He collided with it in a close quarter dogfight.
According to the VVS testing of turning rates, at max cruising speeds, it took an La7 12 complete turns to outturn an FW-190A5.
Examine any JG which flew FW-190's in Russia, they not only tangled with VVS fighter, they managed to get a decent kill ratio.
All the best,
Crumpp