Not exactly.
The Lancer Evo X TC is a completely different machine than the Tuned version of the base car. Whereas the tuned car has a GT-style spoiler and bodykit, the Touring Car version is modeled as a rally car.
The Corvette Z06 Tuned Car adds a front chin spoiler, a rear diffuser, and a GT-wing, which are all available from GT Auto. The RM version looks damn similar to the C6.R from Pratt & Miller.
The Cappuccino RM is, however a copy of the Tuned Car, albeit with some fancy stickers on it.
I miss the Tuned Viper, Skyline, and the Kandabashi unmarked bonkers '99 tuned Cappuccino, and agree that it's a damn shame that they, or for that matter any of the Tuned Cars didn't make it to the final product.
I also liked the Ford GT LM Spec II Test Car in prologue better than that one in 5, because to me, it's exhaust note was annoying but sounded better than someone vomiting loud enough for the whole arena to hear him.