He is a warrior afterall.Bit of an in-universe reference, but they have the USS Gorkon in Starfleet by the 24th century. Now, I appreciate that Gorkon was the Klingon Chancellor who extended the olive branch to the Federation and began the peace process, but he was assassinated by two renegade Starfleet officers. Seems to be a bit 'on the nose' using that name for a Starfleet ship. I doubt if the Klingons ever had an IKS James T Kirk.
They probably named it after the Klingons joined the Federation.