So you are saying the Valeyhome oligarchs do not know their own mind? For all political intents and purposes they are Valleyhome.
We elected the nomad king because the Valleyhome Oligarches were afraid of one of their own would take over the place. That's one example.
They have a skewed view of things because Valleyhome isn't really well connected. They don't see the overall picture, they see the politics of a large but geographically isolated city and assume that this is the same everywhere.
Fair point that the journey will shorten up, but I think a weeks travel time is likely the most minor of quibbles our outlying provinces have with us. I think they can deal with it so we don't have to uproot a millennia old capital and build a new city. The fact that Valleyhome is still the obvious choice for all of our advisors, subchiefs, and planners who are the ones who actually do the traveling should say something about it, no?
The real advantage for Redshore is the fact that it is on the ocean and has acted as a trade hub for centuries. If Valleyhome were much farther way than it is, or there had been any sort of movement of administrative duties towards Redshore in the past, I would agree with you.
Administrative centers have changed often and at little fuss historically.
The distance is a multiplier on all the issues of administration. Speaking as someone working in logistics, it's VERY easy to underestimate the sheer costs of adding even a week's travel to turnaround times of information. That's two weeks to make decisions like "How much should the grain quota this season be?"
Think about that. If the weather is shitty in Northshore, the Palace will learn about it 2 weeks after the weather turns. Then you add another week for the messages to be filtered by priority, allowing for clerk and middle managerb iases. They will then decide based on that information, and send a messenger from Valleyhome to Northshore to lower quotas for this harvest. The messenger arrives 5 weeks after the weather goes sour...oh look it's already nearly the harvest. Now the Northshore chiefs will be bitching about having to adjust tool and labor allocations on so little time.
THEN you have the messengers going to the Stallion Tribes, Stonepen, Redshore and Black River to increase quotas, and ship extra grain over to Northshore to help them tide over the bad harvest, which all have to be sorted out before anyone is short enough to starve.
THEN you factor in the transit points, where ocean ships switch to longships, and then switch to wagons. Each switch requires clerks at the transit points to record and organize what is being moved, to make sure nothing had gone missing, and to double check that nobody had taken it on their own initiative to swap out the messages or forge the documents. The increase in administrative difficulty by distance and modes of transport is exponential, no linear.
That is part of the admin issues at present. Shaving off a week of travel is shaving off at least 3 weeks of response time and overhead.
The Palace breathes information. It's the lifeblood of the administration.