Hello Alfonso and welcome!!!
In reply to your original question, even though i don’t think it matters much, at least for me, I would point out that it’s not actually the first time i come across crossing knot returning stabilizators, as nipping loop binders, in transposed, 1033 Carrick configuration.
If this seems somewhat ambiguous to you, you can keep the term “Carrick”, which is generally a good thing, even in transposed form, and the “runway” property of your knot, meaning that with just one pull, you get unknotted line in your hands.
One might say, you could have been more “bowlinesque” by inserting the first bight from the other nipping loop side for more stability, but your anti-approach is also quite interesting.
A more crucial question posed here would be " Can the two bights stabilise a nipping loop?"
In my view, up to a certain point i believe they can, as shown in your third image, energy stable state, but have in mind that your structure should be perfectly cinched removing all the slack, and it is certainly not to be loaded heavily, because there is a serious chance for the helical nipping loop to deform into a straight line (noose),with only two rope diameters inside it.
Under such circumstances, i believe your fixed loop knot structure, prevails over the not so stable highwayman’s hitch configurations, and generally leaves a positive impression.
Very good knot for light weight and runaway style!!!
You might want to check Andreas runaway bwl, a similar approach which puts four rope diameters inside the nipping loop!!!
https://discourse.igkt.net/t/practical-loops/7694/2