Final answer:
The statement is true; the insignificant difference between the Earth-Sun distance and the immense distances to stars means it does not significantly matter whether distances to stars are measured from Earth or the Sun.
Step-by-step explanation:
To address the question whether it matters if we measure the distance to stars from the Earth or the Sun due to the vastness of interstellar distances, we need to look at the scale of the solar system and the universe. In astronomy, the average distance from the Earth to the Sun is defined as one astronomical unit (AU), which is about 150 million kilometers, and the nearest star, Proxima Centauri, is approximately 4.22 light years away. When we translate this into the same units, we find that the distance to Proxima Centauri is 266,919.671 times the distance from Earth to the Sun.
The vast distances between stars mean that the difference in perspective between observing from Earth or the Sun (which is about 1 AU apart) is negligible on the scale of light years. To use an analogy, if the Sun were the size of a basketball, Earth would be like a small apple seed about 30 meters from the ball, and the nearest star would be another basketball located in an entirely different city.
Therefore, the statement is true: the distance from the Sun and Earth is so tiny compared to the distance to any star that it does not significantly matter whether we give the distance from Earth or the Sun.