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How did you measure the effect of heat cycles, and how did you separate those results from the effects of general wear and UV light deterioration? The professional teams can't (and don't), so I'm curious as to how you worked that out.
Tyres age and get slower, but there is no evidence that the number of heat cycles has any effect. E.g. do two test days on the same tyre of tyre. On one day do 50 two lap sprints and allow to cool to ambient between each run (i.e. 50 heat cycles). On the next day do 2 runs of 50 laps. Ignoring the effects of getting better at a circuit or car, fuel loads and all that and you'll probably find there is not much difference in lap times.
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