"I was always under the impression that if you use the floor plate (leave no trace) that it was ok to use this stove in places where fires are restricted. It isn't really any less safe than an alcohol stove or canister stove."
Different jurisdictions have different rules, and different rangers have different interpretations of the rules. In some places, when they say "no wood fires," it means that literally. In some places, they make it clearer when they say "no campfires." That would seem to allow a self-contained wood stove.
In some of the national parks, they will have an elevation limit like 9600 feet or 10,400 feet. No wood fires above there. That is because there is virtually no wood available up there, and what little there is needs to disintegrate into the soil. In fact, in one national park, they patrol pretty heavy around one area that is just barely too high for wood fires, and it is an obvious thing to catch 'em redhanded.
I'm not saying that stealth camping hasn't been tried there.