The Mbuti and !Kung were divergent long before out of Africa, and that is counting the early lines, like Neanderthal, who got a 150,000 year head start.
If it started before leaving Africa, the migration east would show the same in India, but that is missing, and a northern route is shown by reaching the Han Chinese.
We know the Neanderthal better, more to work with, but there were others, and until we find DNA samples, there is no telling how many centers were involved in Multi Region, that then spread and mixed.
What we know of Sapiens, some turned back into Africa, spread the traits, without Neanderthal or any other mix. Sapiens went through two bottlenecks, where the entire population was 5,000-10,000, before leaving Africa. So Africa gets Sapien, but not Neanderthal.
Gene flow is a lot less likely from a cold adapted northern species, Neanderthal, back to the Tropics, where only a few tropical lines adapted to the cold, most going east, and without Neanderthal genes.
Oceanic populations trace back to northern people, the Hairy Aniu are likely, but come much later.
This shows a pattern across the most northern cold adapted people, and no one else.
The !Kung do consider Southeast Asians to be real people, and the gene flow back from South Asia did reach back into Africa,
40,000 years ago Australians crossed 100 kilometers of deep ocean to reach Austraila. Boat traffic along the India-Africa coast would be expected, bringing other Multi Region mixes back. The !Kung are likely, seeming different from other Africans, and identifying south Asians as real people.
Native Americans do have some Erectus traits, and are likely another Multi Region. Erectus had a long time to spread.
Until we have DNA from the rest, The Hobbits, other early lines, nothing more can be proven.
It does prove a Neanderthal related group, and several non related. Native Americans, South Asians, and African, India, most of Europe.
DNA is not minor, it is what we are, sub species, not breeds like dogs.
Multi Region only predicts DNA spreading, it did, through cold adapted people. There is no driving force to send it back to the tropics. Neanderthal mixing was only 40,000 years ago. While they did live in the Middle East 125,000 years ago, an ice age, Sapiens were a minor sub species then, to the south, and do not seem to have migrated north for another 75,000 years.
Just as tropical species migrate north durning warming periods, so do the cold adapted, following the animals they feed on.
Contact most likely first happened in Europe, which rdos places at a genetic mutation of 34,000 years ago. The first cold adapted Sapiens, meet the long cold adapted Neanderthal. The result spreads east and west, but not south.
I am also waiting for confirming which Neanderthals, there were at least three groups, Atlantic, North of the Black Sea, the line we know mixed, and Asian, out to the Altai Mountains.
The Han Chinese come long after the Neanderthal are gone. I think we will find that they are not from the Altai branch, but from the Black Sea mix.
In Guns, Germs, and Steel, Jared Diamond documents an early culture that spread east west through northern lands from the Atlantic to the Pacific. They had herds, domesticated grains, weaving, pottery, metals, rode horses, used the wheel, long before anyone else.
Colin Renfrew and Richard Rudgley are saying this culture rose about 35,000 years ago. 20,000 years later the rest of the world was still Paleolithic hunter gathers.
One small DNA group does seem to have produced most technology.