Can't reply directly to the child.
The earth is quite larger than a black hole with an earth mass. Also the earth has a huge atmosphere to help capture things.
A black hole with the same mass as the earth would be almost impossible to hit in comparison (9mm). No atmosphere to slow things down, very hard to hit, and you have to come within 1.5 * the radius before you can't escape without thrust.
So sure, some dust would be capture, but nothing anywhere close to what the earth captures a day.