haven’t seen Star Shrek or the sequel Star Shrek: Endgame so cannot comment

but the official poster for SS:E has the on it

Plot: Shrek and Donkey seek the outer edges of the universe to conquer new land to add for their ever growing empire. Meanwhile, LW3130, General D'Brickshaw Ferguson, Captain Kyle K Kirk, and the rest of the members of the Starship Enterprise attempt to stop Shrek and Donkey's efforts.