Sentence Correction (SC) | Re: QOTD: The three women, liberal activists

Unqualifying = The opposite of qualifying.

Qualifying = training, serving to make fit or competent; limiting, restricting; attributing particular characteristics or qualities; moderating, modifying.

One definition of to qualify is "to limit".
In the SC above, to have "unqualified support" means to have "unlimited support".

In A and B, "unqualifying support" means that the support is not limiting something else. The intended meaning of the sentence
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