I think most of the comparisons above will be the Soul versus the older Reynolds 520 versions of the Prince Albert, which used a 34.9mm top and down tube (as I’ve sold less than 50 of the newer Reynolds 725 versions).
The current Prince Albert uses a smaller diameter 31.8mm Reynolds 725 top tube which reduces front end stiffness somewhat. Obviously, the Prince Albert which uses 0.9/0.6/0.9 front tubes will never have the same twang as the Soul (which I believe still uses 0.8/0.5/0.8 walled tubing), but I don’t think many of the Prince Alberts target audience necessarily want it to be anyway.
I’ve never really considered the Prince Albert a direct competitor to the Soul (or vice versa). I personally think it slots somewhere between a Soul and a BFE if you compare it to Cotic stuff.