> "...the Sun - in fact, our whole solar system - orbits around the center of the Milky Way Galaxy. We are moving at an average velocity of 828,000 km/hr. But even at that high rate, it still takes us about 230 million years to make one complete orbit around the Milky Way!"
It takes a vast amount of energy for a stable orbiting body to reach the center of mass of the object it is orbiting around, for example that's why the small Parker Solar Probe (launched 2018) required the massive Delta 4 heavy rocket to provide the boost energy:
https://www.youtube.com/watch?v=AlyuSwRSVHU
So, 'dragged' isn't really the right way to think about it, is it? If two stars collided there must have been some massive energy input into the X7 object which accelerated it towards the black hole (it might instead have been accelerated away from the black hole, depending on the dynamics of the collision). Hence, 'it was shoved towards the black hole' is perhaps a more accurate view than 'it is being dragged by the black hole'.