Again, not as much detail as I'd like but at least it's an unambiguous answer. So, to sum it up, it follows form your axiom that in every collapse where a smaller part drops onto a larger part of any structure, this is what happens after the initial drop from any height (assuming no bounce of course):
1. local failures
2. no rubble!!
3. collapse stops
Is this a correct summary or did I misrepresent your position in any way?
?? In 'every collapse' there is evidently collapse! Topic is however Why a one-way Crush down is not possible!
A small part of a structure dropping on the bigger part of same structure is to start with not a collapse! It is just a 'drop'.
What happens then, at contact, are an impact, energy is applied, forces develop, etc. No collapse, so far. The forces definitely produce deformations; the structures may bounce and/or local failures will develop. It all depends on the potential energy applied.
When the energy is exhausted (transformed into heat), the process stops.
Do you seriously believe that at little part can one way crush down a big part?