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Definition doesn’t fit.
Here neither: merely pointing out your argument is invalid (which it is), is not an argument that your conclusion is false, which I simply didn’t bother to claim.
Would bothering to claim & argue it’s false (reusing your words) “waste my time” & “sully” my attention with an invalid argument? Reusing your language even more
While I don’t completely agree with that argument, either (especially the first paragraph), insisting on reasoning/substance seems way more compelling than that original argument (rejecting a message over superficial considerations). You absolutely can, but reasons that it’s right or logical are lacking or conflicted.
Rejecting a message is worthy of consideration over style is something an irrational person does. It’s a classic fallacy.