Level Up & OSR Enthusiast
I agree it can work well, if you support 4e's design philosophy.Sure. The mechanics are also a kind of "flavor".
For me, it is extremely important that the flavor and the mechanics cohere with each other.
If the flavor makes a claim that the mechanics are unable to actualize, it becomes highly unpleasant.
Oppositely, there are situations where the mechanics do something that the flavor doesnt really explain well. This can be problem for Martial flavor, such as forcing the decision-making of a target, without explaining how a nonmagical character who is unable to Charm, is able to do this. There needs to be a convincing explanation, such as a plausible psychological trick, or physical maneuver.
In my view, these situations concern a specific power. The specific power can be clarified or rewritten for a fix. Meanwhile, the general approach of powers with different flavors works well in 4e.