Re names, I much prefer Acromantula over Rotated/Tilted/Complement of/Altered Griffon as I consider neither one more/less basic. As for a generic term for pieces with ortho‐/diagonal components swapped, something with ‘complement’ seems appropriate (suggesting a symmetrical relationship) — perhaps ‘diagonal complement’ or ‘radial complement’? For pieces with only one kind of radial move Charles Gilman uses ‘dual’, but for pieces mixing them that's subtly different. The concept is more complicated on 3D boards so the terminology needn't take that into account.
@Aurelian: fwiw, Daniil Frolov's variant (mentioned on the page) uses Gryphon for its usual referent and Dragon for the t[WB], so that way round wouldn't be without precedent — in fact I'd initially forgotten the name change from Gryphon/Aanca and assumed that the Dragon was the t[WB] when drafting this.
Re names, I much prefer Acromantula over Rotated/Tilted/Complement of/Altered Griffon as I consider neither one more/less basic. As for a generic term for pieces with ortho‐/diagonal components swapped, something with ‘complement’ seems appropriate (suggesting a symmetrical relationship) — perhaps ‘diagonal complement’ or ‘radial complement’? For pieces with only one kind of radial move Charles Gilman uses ‘dual’, but for pieces mixing them that's subtly different. The concept is more complicated on 3D boards so the terminology needn't take that into account.
@Aurelian: fwiw, Daniil Frolov's variant (mentioned on the page) uses Gryphon for its usual referent and Dragon for the t[WB], so that way round wouldn't be without precedent — in fact I'd initially forgotten the name change from Gryphon/Aanca and assumed that the Dragon was the t[WB] when drafting this.