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I think my point/question is a bit more subtle than a mistake of scale. It's related to Hubbles law and whether the Hubble constant is increasing over time, and if it is, whether it has an upper bound.
I'm essentially suggesting that if the Hubble constant is either decreasing or has an upper bound that is not too high, two objects that are close together and held together by sufficiently strong forces will never be "torn apart" by the expansion of the space between them. This is because the space between the objects is expanding at a rate proportional to the distance between them, as given by the Hubble constant. If the forces between the objects are sufficiently large, they will be pulled together through the expanding space faster than the space is created.
Objects accelerate away from each other, even if the Hubble constant is decreasing (I don't know if it is) because as the distance between them grows, there is more space between them expanding. Thus, two objects that are held together by some force will not accelerate away from each other if that force is large enough to pull them together faster than the space between them expands.
This is my current understanding of how space expands, please let me know if there's something fundamental I've misunderstood :)