Dynamic: I could also imagine that the stories were more naturally developed, like an on-going ad hoc collection of stories. A scenario where anyone could just make up a myth/god and where the popular ones got picked up and written down?
The time constants you are contemplating are way off, in my opinion. Long before written records gods and their histories were alive in the myths of the people. As comparative myths show, similar to common roots in Indo-European language, common roots can be seen in the religions of the Indo-European races. Changes and growth would be slow and not out of random creativity, but of religious needs as the environment changed.
Before the advent of Christianity in the region gods from other regions were not rejected, viz the altar in Athens to the "unknown god" which apostle Paul used to take off his proselytizing.
Even Christianity, a proselytizing religion, took a few centuries to become the main religion, and even then, a lot of the rites and god attributes were transferred to the new saints.
The religious stance of the hoi polloi started in the home and in childhood and was a continuous narrative which can be embellished and changed but much more slowly than you imagine.
A week ago I went to a memorial service in a village of about 2000 people in Greece. About two hundred people were following the liturgy, children and adults, to kiss the icons and genuflect, and communion was taken by some as young as 15 yrs old before the memorial part started. Religious feelings are strong and can be manipulated by apocalyptic religions, as the take of Christianity shows, but it is a time-consuming process.
Apocalyptic religions, like the laws of Moses, and Christianity, and the advent of Mohamed seem to be the province of the Semitic line of culture. They obviously address a part of the human psyche strongly, but there is no indication in the Greek mythological records that there was an apocalyptic act that generated the narrative of Olympus etc. (apocalyptic with the original meaning, sudden appearance).