Give enemies 400 HP. The difference goes away. You can also just have varied content that plays to each classes' strengths. If damage windows are limited, class B has an advantage without the need for any buff. It will put out 200 damage during those short windows, while the other class can only do half that.
Balance and diversity aren't at odds with each other in my opinion. It can take work to achieve both, but it should almost always be achievable.
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