I definitely want to remedy/correct/rectify this deficiency

I'd say; I wouldn't say what you have

I agree with hbberlin, but "compensate" is also used without "for." M-W, for instance, has it as meaning "to be equivalent to" and give as example, "Her virtues compensate her faults." I personally can't claim to have seen it used without "for" before in this type of context (there's always what a "compensator sprocket" does, e.g.), but even then it doesn't seem to fit the OP's context which, I assume, is the same thing as "wettmachen" in this case.

zum Deutschen, so wie ich es sehe

Erfahrungen sammelt man / Erfahrungen erlangt man

schlechte Erfahrungen macht man

Für mich stimmt irgendwas am deutschen Original nicht.... Hat was mit dem Wort 'Mangel' zu tun.