IIRC I once saw a youtube video in which a journalist or filmmaker or whoever interviewed people picketing against a clinic of some kind. Many had never even considered what punishments there should be for doctors or women. One woman's gut response to the question was to propose making abortion a special illegal category of murder without imposing any legal penalties, others had different initial responses but a great many hadn't considered the question at all.

Video.

Also added this to the original post; thanks for reminding me of it! Obviously highly relevant.