The US is not a single jurisdiction for traffic laws, and whether bicycles are considered vehicles and whether and how they are treated differently than cars at intersections or for other purposes varies widely by state.
Its actually quite common for them to have special treatment in the rules of the road, either being classed as vehicles with special privileges (beyond just use of bike lanes and sonetimes sidewalks) or not as vehicles at all; in fact, it is so common that I would argue it is by far the norm, the difficulty is that it is not at all consistent what the special treatment is.
> a one hour bike ride can easily go through several novel jurisdictions
The relevant jurisdictions here are thr 50 states, the District of Columbia, and (pedantically, but good luck including them with others ona bike ride) other territories. Its possible to get several on a one-hour bike ride, but only if it is carefully planned for that purpose.
> If a frenchman were to tell me the rules for right of way in bicycles in France I would not consider him wrong if there were some town in French Guiana where the rules are different (despite it being part of France).
Sure, but just on Idaho stop rules alone, there are differences from the majority “just like a car” rule in 9 states covering about 10% of the US population. The exceptions aren't equivalent to “some town in French Guiana”.
I would never advise cyclists to consider what you've stated as the actual rules. In practice the rule you should follow is the person turning will turn if they reasonably believe you have time to stop, and prey they do not alter the deal further. De facto vs De jure.