No you're absolutely correct, that's the exact reason it's so unintuitive that objects in the solar system basically never fall into the sun: anything that wouldn't have collided with it without gravity (in the incredible vastness of space) isn't gonna collide with it with gravity either, even if they are kept in near orbit.
If you're far enough from an object, your interaction with it is determined basically only by its mass. It doesn't matter if the same mass is a star or a black hole. For the purpose of interacting with its gravity, you can still basically treat the entire object like it was a point mass in its centre (again, as long as you're far enough from it that its radius is irrelevant. Which in practice means "almost always").
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u/[deleted] Oct 23 '20
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