IMHO simple is better with wood burning. Couldn't the delay in the thermostat allow stove top temp to come up too fast and too high will burning a full load at WOT? Throw in another variable (draft, wood species/size/dryness, weather) and I'm not convinced the t-stat alone can prevent over-firing.
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I don't find the response time to be too slow. Certainly not so slow as to overshoot to an unsafe level. This isn't a noncat with unregulated air feeds that cause a spiral of increasing temperature rate increase. Ack, bad memories of calculus, exponential increase in temperature increase rate.
The stove just doesn't heat up that fast and the stat reacts sufficiently fast in my experience to prevent overfire on top and cat stall on the bottom. I can sit there and watch it open and close which causes the fire to brighten and dim. This happens a couple of times with each load as it settles in with my install.