Yes, GALILEO, was wrong!
OK, were on top of the tower of Pisa with Galilee Galileo.
After removing the earths atmosphere we drop the feather and time how long
it takes to hit the ground.
We do the same for the hammer.
We compare times and they are the same!
NOW, repeat the experiment, this time replacing the hammer with a neutron
I would suggest that the neutron star would hit the earth (earth hit the
neutron star?) in less time than the feather, as the neutron stars
gravitational force pulls the earth towards itself.
Now the hammer has a gravitational pull on the earth too (more than the
feather does) so it would "fall" faster than the feather!