Hmmm, interesting. The coolant system is actually more of a heater to help out the carb with cold starts. Alloy carb on alloy intake cools quickly but also is hard to warm up in the winter, or at temps closer to those frosty mornings. You might not need it there and your critical temp probably aligns with the coolant temp as controlled by the thermostat. Hot start means that the coolant temp tends to go up after you've switched off due to latent heat in the engine, so maybe the carb temp goes up with it. I think you have an electric temperature gauge so you wouldn't notice the rise in temp but if you had an Amazon you'd see it rise as the system is mechanical. After a hot fast run it can often rise up to the red for a while before dropping back down again.
You could try popping off the pipes from the manifold and putting in a length of tube to by-pass the carb as a test. I think more people run without this system than with it. Hands up yes or no....