Your thread has set in motion several tracks which have merit

Adoption theory.....as the Gate/King/Ascension symbol is
put onto the already extant......and placed upon site walls
building which could link to foreign influence.....ie
Saqqara.

We are now searching the degree of foreign influence
....Even Oligarchy and trade franchise set up.

The Ascension/gate theme may indeed reside in the flow
of culture from Pacifica to Indus to Middle east and to distant
Albione (Britain)

The theme of travelling teachers is part of this.....as the builder
knowledge crafts move with culture/socio consciousness.

The premise by mainstream that the greatness of Dynastic Egypt
originated and arose there is likely to fall.
Dyn Egypt may indeed be adoption by arriving influences
who encorporate their primacy agendas...bringing the symbolism
and builder signature which morphs over time as the land
of Egypt grows in socio numeric to dominate North Africa.

T Bird