One thing to add to the science here is that Muslim scientists knew the science of all of this for centuries but still continued to follow naked eye sighting regionally. You should ask why that is even though they had the instruments. They werent illiterate. On the contrary.
If both methods are valid which they are then the more compelling argument for naked eye sighting is the spiritual connections one makes with nature and God. It’s the difference between *rote* prayer and *woke* prayer.
But I am also sympathetic to the argument for one uniform calendar which BTW is both Protestant and Reform Jewish of Muslims. 😄