Abortion is not killing, abortion is healthcare. Yes, I realize one's set of values will create disagreement on this, I'm not trying to build consensus here, but can't let such a statement about "killing" go uncommented on.
It's absolutely healthcare, as much as your virtue-signaling wants to pretend otherwise.
1. Anything living is wrong to kill. 2. Human embryos and early fetuses are living 3. Therefore, human embryos shouldn't be "killed"
#1 is clearly wrong, #2 is a misdirect, #3 leads to the author's desired conclusion as a result. That paper based on the presumption that "opponents" argue that fetuses are not biologically living organisms. Fertilized eggs and embryos are living human organisms certainly, but it's not a person yet. Is an egg a chicken? Is a seed a tree? Is a caterpillar a butterfly? Is a collection of human cells with the potential to become a human, human? I believe "no" to all of the above. Potential for development into a more complex living organism is not the same as being that other organism.
What exactly do you find "reckless disingenuity" about referring to an abortion as healthcare? Nothing about that signals recklessness. Healthcare can refer to "skin tag removal" as you mentioned, it can also refer to cancer treatments, emergency surgery, etc.
Regardless, it is up to the patient how much counseling, reflection, and consideration they feel they need. If you get an abortion you ought to have the right to seek counseling before or after if you want, it is up to you.