You realize that history rather shows otherwise? There's nothing "instinctual" about it. The western world had to be dragged kicking and screaming to a Heliocentric view.
Yeah, tell that to Galileo. Copernicus gave us the math of Heliocentrism back in 1543. A century later, Galileo died under arrest for supporting that model. It didn't really start gaining traction until 1700 or so. There's nothing at all "natural", instinctive, instant or automatic about accepting any particular model. Never underestimate the human ability to deny the obvious.
And, in fact, that's what Europeans did prior to Copernicus and Galileo. The math's a bear, but it can be done, yes.
Well, that crosses the line into religion a bit. Sailors knew the earth was round because they could see it.
Once enough humans could SEE the solar system model, it becomes self ordering that things look pretty cockeyed with the earth in the middle and everything else forming circles around the sun over there on the left.
Obviously, you're right that some number of humans chose not to accept that fact, because it contradictd their notion of the universe and their credibility over other humans. But couple hundred years of wrongness is a pittance in the scope of time.
My point still remains, once the human brain accepts that the earth revolves around the sun, along with other planets, when you draw that out, the brain will instinctively put the SUN at the center, not the Earth.
It's like an OCD compulsion to line up the crooked dominoes on the table. Artistically, a solar system diagram with the Earth in the center, and with all the other planets and Sun drawn in with their orbits will look off-kilter and humans will be inclined to redraw it with the sun at the center of the paper. The brain puts the center as the point between other things that form orbits. Something that orbits another body tends not to be accepted as the center.
I have no clue what folks would do in a binary star formation where they kind of orbited each other (or orbited an invisibile centerpoint). I suspect, folks would interpret the centerpoint of the orbits as the center of the solar system.