Well no, Britain's interests are literally and technically and metaphorically and whatever-ly not older than the interests of any of her people. Britain did not exist in any way, shape, or form before any of her people. The humans of Britain sent other humans of Britain to die for the sake of humans of Britain. Britain doesn't have territory, the rulers and leaders of Britain have territory. Someone always benefits.
This is a fundamental misunderstanding of systems thinking. It can be useful to describe the collective interests of an organization as a whole system, but they're still human interests. Sending immune cells to kill themselves to fend off a disease is still in the interests of cells, just like the humans of Britain sending humans to die in a war is still in the interests of humans. And just like humans can't have interests without cells, organizations and economies can't have interests without humans.
I'm also not saying that humans are special or unique in the way that they can have interests, I'm saying that the capitalist economy we live in is defined by human interests and cannot somehow become non-human. Human interests will always be involved because that's how we define the system of capitalism & economy. Suggesting that our economy could somehow replace all humans makes as much sense to me as suggesting that a body of water could some day replace all of its H2O molecules.
I'm going to go ahead and say that of course increasing inequality caused by capitalism is a major concern for many humans which seems to be what you're getting at. This talk of Britain & capitalism functioning without humans is distractingly nonsensical. No, capitalism can't get rid of humans because a capitalist economy without humans is not a capitalist economy. No, the importance of horses is not comparable to the importance of humans to a system literally defined by interactions between humans.
the same applies to you. You're a system of competing interests which we call "themacguffinman" solely for the purpose of simplification. You're nothing but an organisation of cells, systems and drives and the interaction of a lot of parts that we slap a label on for practical purposes. When we say something like "Britain likes X" we actually should take it literally, because Britain is a very real thing. Just like your body sends immune cells to kill themselves to fend off a disease, Britain sends her soldiers to die for a quasi empty rock off the coast of Argentina. Britain has territory, but none of her citizens have one. Britain has interests that are older and different than the interests of any of her people.
The world actually makes a lot more sense when you let go of the very atavistic idea that humans have any sort of special ontological status or have some level of realness that other entities don't have, it's just systems all the way up and down.
People actually intuitively understand this when they discuss the so called 'AI alignment problem'. They just don't understand that all the AIs are already around and we're solving alignment problems with entities with non-human desires and interests all day already.