K'Tesh may have made it up to fill
his Klingon food page. But he cites "Genesis" [TNG], "The Sound of Her Voice" [DS9]. Hmmm, you are right he says the dishes weren't specifically called karada legs... I don't have either episode at the paw so it will take some time to verify.
As far as washing it down with a shot of "It's Green", it may be properly identified as "Aldebaran Whiskey", but only snivvling whine snob like Pickhard calls it that. I myself pointed out it's proper Identification in
that thread, along with my opinion of Pickhard's prestenation of this knowledge. However it is properly identified, is still known much more commonly as "It's Green", go ahead and ask around, far more people will understand and know what you are talking about.