Unless a lower class is applicable, a claim is included among the claims that are subject to the classification under s. 645.68 (5) if the claim is any of the following:
(1) A claim against a health maintenance organization insurer or an insurer described in s. 609.91 (1m) or (1p) for health care costs, as defined in s. 609.01 (1j), for which an enrollee, as defined in s. 609.01 (1d), policyholder or insured of the health maintenance organization insurer or other insurer is not liable under ss. 609.91 to 609.935.
(2) A claim for health care costs, as defined in s. 609.01 (1j), for which an enrollee, as defined in s. 609.01 (1d), or policyholder of a health maintenance organization is not liable for any reason.