@ Mark,
Clarity !!!
I think you may be lost in a fog of your own preconception :) The nipping loop in #1033 Carrick 'loop' remains functional. The core structure of #1033 does not undergo a transformation. Its dressing is not transitory (ie not a 'dressing state').
Now I see why we are in disagreement - #1033 has TWO stable states.
If I take the lacing as per your image of #1033 and carefully tighten it down, then I am able to ‘freeze’ the structure into a perfect definition of a Bowline - and it is stable…
AND
A Carrick is a self dressing component, automatically folding into the lowest energy form, so, if I take the #1033 lacings as per your image and simply load it (esp SP vs Collar loop leg), it dresses into the Carrick form I have been talking about, and almost certainly the form Ashley understood the knot would take which most certainly falls way outside of the Bowline definition.
So, we have a knot with a split personality. I have now tied and loaded this knot repeatedly, and can state that it has so far never self dressed into the Bowline form, which is a slight indication that the Carrick form is the lower energy (most stable) form [1.]
So, having cleared up the confusion - how will you now classify this Schizoid knot?
Derek
[ Note 1, closest path is not necessarily the path to lowest energy state]