Well, you make a very good point, Soup Nazi.
You could be right. The difference between the cases you cited and the speed of light is experimental evidence.
The Earth and Sun centered universes were descriptions of the way we saw things, true. They turned out to be wrong. I propose though that they were originally what we ‘knew’ based on ‘common belief’ and religious doctrine rather than experimental evidence.
Much as my grip on history is tenuous, I seem to recall that the belief that Earth was at the center of the universe persisted for a fair time after evidence was starting to mount to the contrary (a quick perusal of the history of astronomy, specifically Galileo, should bear this out some). The original belief was upheld by powerful religious figures for quite some time, and hence in the public mind.
A belief that the Earth was flat, or that washing with water was unhealthy, was similarly borne by ‘public consensus’ which is not a terribly good way to determine the truth.
However, and this depends on whether or not you have more faith in the scientific method than in other forms of truth-determination, we have considerable scientific evidence, measured and calculated and statistically analyzed evidence, that there really is a speed of light limit. We can make good predictions about what will happen in the future based on experments we start now, which is a good basis for something being true.
There’s also some minor evidence lately that this limit has been changing slightly over the history of the universe, true, but this doesn’t change the idea that at any given point in the history of the universe some such limit evidently seems to exist.
We regularly test this limit by way of particle accelerators (where we need to know the properties of near light speed travel to properly time the acdelerating elements), or with GPS (the Global Positioning System that depends on this hard limit in its calculations of position), or in celestial mechanics (determining the true orbits of planets despite the propagation time of the light coming from them).
Does this say we can’t exceed the speed of light somehow?
Well, no, of course it doesn’t. We’re a notoriously clever and stubborn race, and if there’s a way to get around it, we’ll probably find it.
But the limit is not just a fictionlike the ‘edge of the world’ that people believed because it seemed like a good idea at the time. The limit, at least locally, is very real, so there is a very real ‘problem’ to get around. The limit is a very real phenomenon that we not only expect, but depend on.