I understand why they're used, too, and the truth has nothing to do with it - it's all about manipulating emotional responses. They use the same tactics on everything from billboards with adorable already born babies to the forced ultrasound & 'counseling' requirements: all designed to make women feel guilty.
When women don't oblige them, [knowing they'd feel guilt much worse for deciding to have a child they can't afford &/or don't want] they get conservative legislators to sponsor regulations requiring clinics to use doctors with local hospital admitting privileges - not because women need admitted to the hospital [abortion id much safer than childbirth], but because they know the doctors don't have such privileges [and it isn't necessary, in an emergency the woman would be admitted regardless], and can't get them, either. Hospitals restrict admission privileges to docs who do a fair amount of business with them which the abortion docs usually don't, because they're not local. Both the docs and the hospitals are afraid of attracting the attention of those 'protesters', naturally.
The irony is, if they have their way, those women and 'babies' they wanted to protect will once again be at the mercy of untrained back alley kitchen table practitioners - what a victory, eh?