The deception would've failed
The Ba'ku are an intelligent people and surely have gazed at the stars and created star maps (with constellations). They would have been well aware of the clandestine move to another world. At least in TNG's "Homeward" episode they pay lip service to this fact when Worf tells the Boraalan villagers that "As we said, it is far from here. It will not be like the home you knew... even the stars may be different."
share