There's no requirement to be to a member of the OpenID Foundation to describe your implementation as OpenID; the trademark rules are here:
https://openid.net/intellectual-property/trademark-license/The main requirement therein I would say is that you can't use OpenID to describe an implementation unless it implements the mandatory-to-implement parts of the relevant protocol specification (and all the specifications are 100% free; e.g. https://openid.net/specs/openid-connect-core-1_0.html ). That's more about interoperability than anything else.
