But the fact that the Earth revolves around the Sun does tell you which "model" is actually a fact. That's the point.
You're making an argument about which facts should be reported? The sun rising in the east? Or the phases of Venus? Or both? Or both and more?
But stating that you need an ideology or narrative to support your facts is a bit nonsensical in my own opinion. There really is only one conclusion that can be drawn from the totality of the facts. To state only a single fact, and then say, "here is an ideology or narrative so you can understand the fact I just gave you." Really is just stating an ideology or narrative.
Think of it this way, if you still need a narrative, then you didn't give anyone all the facts.