Actually, we're both wrong - you more than I, of course. My number is, as you point out, incorrect in the context of your sentence (not that I quoted the whole thing); however, your original "total betrayal" still doesn't convey the meaning you wanted, for which you needed "betrays"/"betray."

Like I said, contextual usage is more important for concise conveyance of meaning than citing all possible definitions over the history of the term's use.

"Drawing conclusions about the person based on the argument he delivers" gets the ad hominem fallacy backwards. If your point is merely to use ad hominem as a fancy long-hand for 'you insulted me, in addition to attacking my argument's poor support,' then sure, there's that. As for "misapprehending the facts," to try to remember the distinction between your subjective perception of what you meant to say about the numbers, and the objective meaning of what you actually wrote about them.

XOXO, HTH