Just a quick thought on this issue: Using Laplace’s rule of succession (or any other similar prior) also requires picking a somewhat arbitrary start point.
Doesn’t the uniform prior require picking an arbitrary start point and end point? If so, switching to a prior that only requires an arbitrary start point seems like an improvement, all else equal. (Though maybe still worth pointing out that all arbitrariness has not been eliminated, as you’ve done here.)
Doesn’t the uniform prior require picking an arbitrary start point and end point? If so, switching to a prior that only requires an arbitrary start point seems like an improvement, all else equal. (Though maybe still worth pointing out that all arbitrariness has not been eliminated, as you’ve done here.)