I wonder if they could do as
@Sick Cylinder said and use that paddock. Even if they made it so your car just got the work done by an invisible pit crew without all the animations, it'd be better than nothing, IMO. As it is, the best options for these tracks would certainly have to be a timed race so people could get a feel for the track, then a completely new race after that. Certainly not ideal.
It really would make it difficult to have a race with any length unless you turned off fuel consumption, tire wear, etc. Everyone would eventually run out of fuel!
Funny, yes - but ultimately not a good thing.
Oh, and great video Sick-awesome little track. I wish Canada had some races like that I could attend