Don't know why you are getting downvoted. You are spot on.
Granted, if they want to refer you to anyone else, your insurance may be involved, but not a few of them also have arrangements with those "health sharing ministries" where the patient cash pays for any procedure with the assistance of other people in the health share, which again saves enormous amounts of money by skipping the insurance system.
I've also had both experiences that correspond to and directly oppose your take on the church donation plate, so I'm curious if you're aware of data about this, or if we're just comparing personal experiences.