You’re worried about something only supported by a fringe group (some conservative Catholics) and legal for your entire lifetime. Keep in mind that the only opposition that the general pro-life movement has is towards abortifacients, of which IUDs are not.
Just because something is vaguely similar doesn’t mean that it is necessarily affected by a policy. Banning slavery, doesn’t mean that you can’t make your children do chores.
“The 'pregnancy crisis’s centers that are legally allowed to spread misinformation” Everyone is legally allowed to spread misinformation.
Maybe your heart wouldn’t be so broken if your head wasn’t so broken. But who am I kidding, you likely don’t actually care about this to any actionable degree, just typed out a response since the topic was broached.