The general rule is fairly straightforward.

When discussing anything to do with predictions as times and dates, whether the positions of celestial objects relative to each other or engineering issues such as rocketry , the apparent motion of the Sun and solar system objects moves through the constellations.

When discussing cause and effect of the Earth's motions on terrestrial sciences and the actual structure of the solar system, such as inner planetary direct/retrograde motions or proof of the Earth's orbital motion, the transition of the stars from left to right (evening to morning appearance) is the correct perspective.


The latter perspective is not entirely new but was lost for thousands of years to the Greek perspective which remains so useful for predictions but this was compounded further by the emergence of RA/Dec which is even more precise as it brings in exact times of astronomical events with a 24 hour day. Normally people would accept the perspective differences and begin the huge endeavor of investigating how to work with the motions of the stars behind the central Sun due to the orbital motion of the Earth but the faculties necessary to make the leap have been weakened among people even when animated graphics open up a new and more expansive astronomy.

https://www.youtube.com/watch?v=eeQwYrfmvoQ

So, the celestial sphere astronomy remains useful but unusable for those areas of astronomy which are most important where cause and effect are present and especially how the motions of the Earth affect experiences on the surface of the planet.