I think you may have the Griffin confused with the Talon Class from Star Trek: Armada. It is true that the Griffin was used in both Starfleet Command and Star Trek: Armada but it also featured in Star Trek Legacy which was made by Bethesda and not Activision so the actual ship design I would guess belongs to CBS because they endorsed both different companies.
Well "Paramount" originally until they were taken over by CBS. So I am pretty sure that the Griffin can be used because it's owned by CBS and not the individual game company. Plus, its a pretty popular design. That is why I included it in the list.
There was no Griffin in Legacy outside of fan mods, what are you talking about?