I'd think that unless one lived next to a velodrome and had unlimited access to the facility, a track racer would need to spend some time training on a road bike.

I sort of have the opposite problem with swimming - I race in open water, and I prefer to swim in open water. But because I don't live in Hawaii, I need to train in a pool 4 days a week.

But then, I'm not exactly sure what your question is. What bike do you have right now?