Ah, I thought so! Mine doesn't.
Also, when I turn the dial to go from 6-speed mode to sequential mode, I can turn it halfway then the knob moves into 4th by itself, and the dial won't go any further... but sequential mode works from here, although I have to move the stick back to neutral by hand each time... This isn't really much of a concern to me though, as I use the 6-speed mode anyway, but still..
And I've tried to use the clutch, but it won't work even after pressing the triangle button (or whichever one it was) as the race starts. I can change gears and everything without clutching, and cars accelerate as normal when it is fully depressed... Maybe that part is my fault though in the calibration or set-up or something. I hope