Well you're in luck, because as was already mentioned, The Racer has the "the" in it and therefore is okay to say. Adding the word "the" unnecessarily to a ride name is annoying because it isn't the proper title of the ride. Using the name of the ride in a sentence is not any different than using a person's name without the word "the." I wouldn't say to you, enjoy your day the teenageninja. It's just not necessary. "Enjoy your ride on Vortex" works just fine. It's the name of the ride.
Now, being rude to someone for expressing what they have issues with is not something that's in good spirits. We all have our own fetishes about things, and that's perfectly fine. I'm sure you have things that bother you. For me, adding a "the" is noticeable, but I don't throw a fit over it. I do, however, get very blunt with people who add an "s" to the end of The Racer. It's the same reason. The "s" isn't a part of the ride name and isn't necessary.