Copyright, patent, trademark, and trade secret laws are all entirely different and have almost nothing to do with each other (don’t be fooled by the property-rights-hating shysters who try to gaslight you into lumping them all as “intellectual property[sic]”).

Trademarks and patents don’t have the same kinds of interoperability exceptions that copyright does, and you can’t claim to “support HDMI™” without licensing rights to those in addition to whatever copyrighted code you might need for the software side of the implementation.