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You are splitting hairs at these temps as we are dealing with temps around 400 degrees or more when at operating temps. But your observation is correct.
The bore, when heated will expand quite a bit. For every .001" diameter the cylinder grows the gap will increase by Pi. (.00314). However once temps set in to the ring it will grow along it's length catching up quickly. You will not observe this unless the ring was heated much higher.
I suspect the ring's operating temps is somewhere in 400-500 degree range and the cylinder will vary between 300 at the head and 190 and the spigot.
If you want to play around you can put a ring on a hot plate and measure the change, just don't go crazy with temps as you may be buying rings again.
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Aaron.  F.S. 1965 Solex engine w carbs/cleaner
Burnham Performance
https://www.instagram.com/burnhamperformance/
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