No, I don't think that you "just suck"... I think it has a lot to do with your practice with 16-bit and 32-bit racing games that didn't have analog controller support. I'm used to those freakin' d-pad smasher racing games and so it's "easier" for me to learn. I have a longer learning curve with today's generation racing games though...
I wasted several hour of my life playing games like Super Hang-ON (Genesis version) and Rush Hour (Speedster) (PS1) (This one has the most bitching controls that I can remember but it's damn fun). I also always played F1 "simulators" like Grand Prix Series using digital pads most of the time. And I like very complex analog controls like some Black Bean games (SBK series and Superstars V8 Racing) when set to the more realistic modes and the fuckin' awesome WTCC games by SimBin (these ones really worth a look. They're kinda unknown in the US but very popular in some European countries. The tracks, car settings and controls are probably the most realistic renditions that I have ever experienced.).
V.R. really depends on that d-pad tapping technique, especially the prototype car. I can see you going quite well with the F1 car without so much tapping, but the prototype is faster and heavier, you need a lot of over-steering to take the most of the car in the turns... I usually combine the d-pad tapping with fast "gas/no gas" alternation, 'cause it makes the car slide a bit easier and faster.
That track is kinda easy compared to the others. I'll post the Bay Bridge video later, it's a lot harder and can cause some pain to the thumps, ahahha!
What is hard about V.R. is that you can make almost no mistakes in situations that you have to push like hell all the time. It's a bit unfair sometimes and I think that Daytona USA balanced it a bit better. And then Sega Super GT brought it to the easy side.