Robert Shaw in his seminal book "Fighter Combat" defines the two most important advantages a fighter may have over the opposition: A lower wing-loading (leading to better turn performance and the ability to fly slower) and a more engine power in relation to weight (leading to a higher ROC, better acceleration, and more vertical maneuvering potential generally)
Note that top speed alone is not mentioned here, and with good reason. A top speed advantage is useful in many ways, but once engaged maneuvering begins, it's usefulness is very limited compared to superiority in turning or power.
The most common dissimilar air combat scenario is one fighter possessing lower wing-loading while the other possesses higher thrust-weight. The classic angles/energy fighter matchup.
Another possibility is for equivalence in one of these areas and difference in the other. The fighter on the bad end of the stick finds itself in the situation of being what the book defines as single inferior and generally must be the more skillful pilot to win. An even worse situation is when a fighter finds itself in what the book calls double-inferior condition, that is, inferior to the opposition in both turn and power/weight. Shaw, who I think we can all agree possesses some insight into the subject, makes it clear that the double-inferior fighter is at enormous disadvantage and must have either advantage, surprise, or superior pilot skill to win. The double-inferior fighter cannot expect to win an engagement from an even break against a comparable pilot in a double-superior fighter. And even if the double-inferior fighter possesses a top speed advantage, it may not be able to use this advantage to run away if it commits too deeply to an engagement with a fighter that has superior acceleration.
So getting back to the original posters question, the P-51, P-47, and Dora are all, as defined by Shaw, double-inferior to either the 109K4 or the Ki-84. All other things being equal, the Kurt and Hayabusa will have an *easier*, not harder, time maintaining an E-advantage over lower bandits due to superior power/weight ration and will also have an easier time gaining angles on these bandits in engagements due to lighter wing-loading.