Link was used in the Jim Henson hour souly for the purpose of a dumb character. Fran and who ever played Lindenburgh where somewhat getting used to the more adult situation. Kevin instantly got two characters, Clifford and Leon, Jerry only had one major character, Beard, with some appearances by Camilla, and Dave, being the nut, had two main characters. Out of the main cast, Vicky, Digit, Lindenburgh, Clifford, Beard, Leon, Kermit, Bean, Flash, Kermit, and Gonzo, Link was the established moron, and who better? Jim's other characters are Pun spewing Rowlf, WiseCracker Waldorf, Groovy Good Doctor Teeth, and the just insane Chef.
As for the whole MFC, Link, along with some other Muppets who weren't in Fozzie's truck, (Pops, Crazy Harry, Bobby Benson, Lewis Kazager, Nigel, Droop, Foo-Foo, Newsman, exct), I think they arrived via the Courtesy Car and driven by Pops.
Link's appearance in Muppets go to Hollywood baffled me. He only appeared ONCE. His addition to the Muppets at Walt Disney was awesome, giving Jim someone else besides his main four.
Also, here's a question. Why wasn't Lew Zealand in the Disney one? Jerry only had Camilla, Floyd, Robin, and Emily, giving him one of the lower character counts, by this I mean.
Kevin only had Clifford.
Steve had Bean, and Rizzo. Though three of his other characters had non-speaking roles (Sprocket, Foo-Foo, and Lips.)
Frank had Fozzie, Animal, Piggy, and the Hands of Chef (Why wasn't Sam included for this matter either?)
Dave had Gonzo, Zoot, Beauregard and Bunsen.
Richard had Scooter, Statler, Janice, and Beaker.
Jim had Kermit, Dr.Teeth, Waldorf, Chef, and Rowlf. Giving him Link seemed to be overkill. Link's part could have been filled by say, Lew or Sam.