They've got it all wrong. Space is flat and Earth is fake.

At this point, basically yes.

While there used to be more diversity of impossible nonsense theories attempting to explain 'the flat earth', at this point a large, or at least loud majority of flat earthers have landed on the old school biblical interpretation that the earth is a flat disk with a giant dome around it.

The sun and moon do logically impossible nonsense 'orbits' that widen and tighten around the north pole, that can be trivially disproven by just having two people in different spots on the real Earth and measuring their viewing angle off the horizon of the Sun or Moon at the same time.

Also, somehow light from the sun casts a cone of light as if it has a lampshade instead of just out in all directions.

The sun and moon are also inside the great celestial dome.

Sometimes the moon is a hologram.

Sometimes the stars are a hologram, other times they are fixed into the dome, other times its some magic mystical nonsense that is not even parsable in english as a coherent concept.

They also have largely abandoned the idea of gravity, opting for 'buoyancy' as the sole reason why things on Earth fall or float.

People have attempted to explain to them countless times that buoyancy requires gravity to work and they always disagree.

So, they think that theres a giant dome in the sky and that all the stars are some kind of 'not as they appear' and then they /can't/ be actual stars the way stellar formation theory says because they already know that requires gravity which they do not believe in.

You cannot penetrate the sky dome, so all space missions beyond what we would call low earth orbit are fake and hoaxes to them.

Yup.

I have no idea, but I wouldn't credit them with consistency either.

Sounds like they need exposure therapy to space and seeing earth from a distance.