Doesn't this support my position? Even if an abortion was only a medical procedure, it wouldn't be available to vindicate the man's choice over the woman's choice. And you correctly note that it isn't only a medical procedure

Fully true. It's the pattern-matching connotation of "Here, I argue using known fallacies" that was off-putting, more than the facts stated and the actually-implied reasoning.

I cringe at the phrase "vindicate the man's choice over the woman's choice", because it's clear to me that this isn't a mutually exclusive two-choices-only scenario (there are more than two possible solutions to this "problem", if one wants to think of it in these terms), but that reaction is a matter of gender-equality humanism (which most people, due to historical circumstance, refer to as "feminism") more than the actual issue at hand.