I'm with Darren on this one. Rhynchocephalia
needs to be cast out with the trash.
While I happen to agree here, Rhynchocephalia is a senior synonym of
Sphenodontida, referring to the premaxillary tooth-beak-thing of
*Sphenodon*. The rhynchosaurs were added later, and their removal doesn't
necessarily affect the name Rhynchocephalia at all.