I'm not fond of this argument, because it can be equally applied to people with disabilities

You are correct. The whole issue isn't about life, but about control. It's about a whole group of people who force/coerce you into a caregiving role. The very coercion reveals their own desire to not do the work themselves. I find it especially galling that these same people will not do the same caregiving, do not offer help, and get when you object to all of this work!

You cannot coerce people into caregiving, whether babies, disabled, sick, elderly, or anybody else. It must be a choice.