Unless there are a lot of time-jumps in this, it feels like the timeline is greatly accelerated and mashed together, or they've bodged some drama in there in terms of explosions and big statues getting squashed by falling debris.
"
chronicles a band of exiles on their monumental journey to save humanity and rebuild civilization amid the fall of the Galactic Empire".
The actual journey to Terminus isn't particularly dramatic. Seldon manipulates a Committee into exiling him, rather than murdering him, and they all toddle off to the edges of the Empire, out of sight, out of mind, whilst the Empire disintegrates over the next few centuries.
So the entire cast are dead before anything really interesting apart from lots of talking and politics happens. Even then the "Seldon Crises" are, that we know of, involve religious, economic and political solutions to scenarios.
These three blokes playing the Emperor appear constructed whole cloth to take the place of the Committee that actually exiles Seldon and his followers, perhaps drawing from the character of Cleon II as the only Emperor who actually appears and does something, even if its far later on.
It might be an interesting TV show, and I will give it the chance to be, but the action packed trailer suggests a hell of a lot of license is being taken, just to get us those dramatic moments.
Checking this all reminded me that the galactic Empire might only have happened because of Asimov's version of the TVA as well, hence the absence of any chance of aliens in the milky way, and relates to the ultimate goal to create the Second Empire/Galaxia (it isn't perfectly clear that Asimov didn't intend for these two to merge) as a bulwark against hostile extra galactic aliens.
I wonder how much the TV show is going to resist dabbling in the wilder stuff that is far beyond the scope of the story it appears to be telling, which is one short story of one collection from the "Foundation" novel, since we don't appear to have any indication we're going to see Seldon as a young man.
The cynic in me expects a lot of cherry picking and editing. Also I have to laugh at them recasting the boring young mathematician who eventually takes over as a young lady, to get some sex appeal into the sausagefest, as it looks like Gaal Dornick is hooking up with Raych Seldon, with no sign of Seldon's wife, or Raych's backstory and actual family being a thing.
Dancing around spoilers, Eto Demerzel as a lady suggests they are either abandoning the long term stuff, or just not bothered about it right now, and feel like it doesn't matter for spoilery reasons.