Besides providing clues to the behavior of the central black hole, these stars are "test particles" for probing the gravitational field of the entire galaxy and how gravity's major source, the Milky Way's invisible dark matter halo, may be shaped.
What's especially intriguing is that a cluster of young blue stars also surrounds the supermassive black hole in the heart of the neighboring Andromeda galaxy. This means bursts of star formation around black holes in the hubs of galaxies must be frequent and common in the universe. If the black hole theory is correct, space telescopes could go looking for a cone shaped pattern of high-velocity stars in the Andromeda galaxy.
Alien astronomers living in a runaway star system would have a curious but grand overhead view of their parent galaxy. But putting together a coherent theory of star birth and evolution would be difficult without having powerful telescopes to peruse the starry tapestry beneath them.
Image credit: NASA