I'm not sure if I mentioned this, but I think Pete Best would make for a less stable dynamic compared to the situation as it existed with Ringo Starr. For that reason, I think it's more likely that the Beatles will go a less "Beatle" route where the band is what it is, with all the members always the same, and they split together. Instead, I suspect they'd go a route more like other bands where members may come and go and the lineup could shift and things could splinter and break off.
Ringo has the benefit of being Ringo. He is often criticized for being what it means to be Ringo, but those criticisms are not fair. His lack of ego is commonly mistaken for being a hanger on that got lucky to even be there and never did his part to really deserve it. His drum playing style, also driven by a lack of ego, is mistaken for being bad. It isn't. It is deceptively simple, Ringo was good at keeping time, and he played exactly what the other members asked him to play so what you hear is what the other members wanted. Ringo was a good drummer, as you can hear on the track "Rain" which Ringo said was the most complicated he ever did drum on a Beatles recording, as well as his drum solo in "The End" (which the other members had to convince him to do; again, lack of ego).
That lack of ego worked very well within the group, as did Ringo's nature. They were honest when they said he was a better Beatle. And his lack of ego meant he never tried to compete for face time, understanding he'd get enough, and he never tried to compete with Lennon and McCartney, and the other Beatles always let Ringo do a song or two for an album. That allowed for the dynamic where Lennon and McCartney were the leaders with their own leadership dynamic amongst themselves, George Harrison was more an up and comer, and Ringo Starr was like a glue who contributed his fair and needed share as much as was needed.
Pete Best seems like a different dynamic from Ringo Starr so far as I know of him. It may not be as overt as some sources say, but there does appear that Pete Best had an ego; not, perhaps, greater than the other members, but at least equal to them, and that may present a problem. That's rocking the boat. That is Pete Best wanting to have an input on the group direction more than Ringo did or attempted. That is Pete Best wanting to contribute songs and have prominence more than Ringo did or attempted. That makes things less stable, which opens up the prospects for greater tensions and split up and members leaving and/or being brought on and all that sort of thing. You also have the factor of what the fan base will push, because while Ringo Starr was the beloved funny one, he wasn't the pretty one. Pete Best was probably, in his time, the best looking Beatle, and that presents a problem if the audience makes him their favorite and thus the most prominent of the group.
Then again, maybe that dynamic could still work, with the instability due to a member who would want more prominence and input compared to Ringo's humbleness not being too grave or stressing, and thus not breaking up the band or making it do what most bands do with changing lineups. And though I do believe such a thing is more likely, that doesn't mean it is what would have happened.