I'm sorry thunder chief, but that is a ridiculous notion.
One, I'm not sure why'd we consider WS-10A would have a responsiveness problem in the first place unless we are referring to the mid 2000s "spooling up" issue which has since been solved years ago.
Two, "responsiveness" (whatever that means) has no relation to the performance of a modern strike fighter versus an air superiority fighter because both would be expected to conduct evasive maneuvers in combat situations. If anything, the most significant difference between engines for a strike fighter and an air superiority fighter would be maximum thrust, because a strike fighter will rely more on speed to escape unfavourable situations rather than fight it out with an opposing interceptor. But that's not even a given, in today's multi role strike aircraft norm.
Lastly, j-11B isn't a strike fighter, it is an air superiority fighter. It isn't even equipped with precision air to ground weapons, and it's primary armament are PL-8s and PL-12s, so the entire premise is blown apart anyway.