I say if you have time to get a new front tire on there, you should do it. It messes up the handling a little, especially when braking while starting to lean it over. It will wiggle the bars a bit more, and feel less stable in turns. It will just be more fun with a nice round front tire. Street riding is nicer also.
I have run fresh street tires (BT010s) on track without even one street mile. They were scuffed in a couple of easy laps. I did kind of scrub off the shiney stuff with soap and water first. It was not that bad to scuff them in on the track. You'll just go slow for a couple or three laps, then the bike will handle better for the whole rest of the day.
If it is not badly cupped, but more just a little scalloped, you can still run on it without much of a problem. If it's bad, it will mess with your confidence, and reduce your fun. But then, track days are so much fun, you'll be grinning ear to ear anyway.
I've never broken in tires on the street before going to the track. I always scuff at the track. At Jennings, I put on a new set at lunch on sunday, and broke them in on a wet track and didnt' have any problems...
If you are worried about having time to have it mounted, thats one thing, time to scuff it in, that should be a non-issue.
I try to get my major prep items done up to the weekend before to avoid situations like this. For my last trackday weekend, I was in the same boat anyway I changed out a cupped front the day before. The forecast said it would rain, and I thought it would be better for wet running if the front tire was not cupped. It did rain, and I was glad that I made the time to get it done.
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