Essentially, the gov't has access to children's private areas without parental consent.

What other states have similar laws? How many children have been "examined" without their parents knowing?

"Examine" - Is there a prerequisite that the health care provider have reason to believe there is a disease, or can they just examine for the heck of it?

https://www.lawserver.com/law/state/connecticut/ct-laws/connecticut_statutes_19a-216

Bold added by me

Connecticut General Statutes 19a-216 – Examination or treatment of minor for venereal disease. Confidentiality. Liability for costs Current as of: 2016 | Check for updates | Other versions (a) Any municipal health department, state institution or facility, licensed physician or public or private hospital or clinic, may examine or provide treatment for venereal disease for a minor, if the physician or facility is qualified to provide such examination or treatment. The consent of the parents or guardian of the minor shall not be a prerequisite to the examination or treatment. The physician in charge or other appropriate authority of the facility or the licensed physician concerned shall prescribe an appropriate course of treatment for the minor. The fact of consultation, examination or treatment of a minor under the provisions of this section shall be confidential and shall not be divulged by the facility or physician, including the sending of a bill for the services to any person other than the minor, except for purposes of reports under section 19a-215, and except that, if the minor is not more than twelve years of age, the facility or physician shall report the name, age and address of that minor to the Commissioner of Children and Families or the commissioner’s designee who shall proceed thereon as in reports under section 17a-101g.