A lot would depend on what chemical was rolled.
No doubt that cure time makes a difference in tires.
Also not underestimating the importance of having several sets rolled at different times.
If these tires were prepared and to be used at the same race track, then that might explain at least part of this theory.
This would also be a good way to learn how and when to use certain sets of tires for a beginner. (Ie, if you've only got 3 sets to choose from and they're all rolled with the same amounts, then you'll see the effects of cure time, etc.)
The bigger problem is: How many different sets of tires can you afford? Introducing different amounts of internal, coupled with different cure times, just doubled, tripled, quadrupled your tire bill. I am full convinced that you can never have enough tires in your arsenal. You still have to bolt the right 4 on the kart at the right time.
Personally, I prefer to roll different amounts of internal.
We even use two different internals to accomplish two different things (breaking down sidewalls versus not.)
I would not adjust air to "mimic" the effect of different amounts of internal roll.
Sure, that will help some (ie go up on air if you're too locked into the race track), but it's a band-aid fix in my opinion.
But you know what, we've all used a lot of band-aids over the years.
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Thanks and God bless,
Brian Carlson
Carlson Racing Engines
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