Isn’t it the case that the analogy used to be made but that it no longer is? Electrons were thought of as point like “planets” orbiting a nucleus (sun) with some extra rules to get around the holes in the analogy such as accelerating charges radiating energy. The holes are rather important, so the key features are how the model had to be patched rather than the model itself. At which point why retain the model at all? The solar system model will incorrectly have students thinking that the electron has a definite location around the nucleus rather than the more conceptually awkward probability associated with orbitals.
My memory has that the Bohr model only works for Hydrogen. I recall during my time at school and university being frequently told to forget what you had been previously taught. I enjoyed learning the new stuff so just accepted that this was how it had to be. I’m now a much older dog that finds new tricks harder to learn and wonder about the value of learning that is likely to be discarded in the near future or otherwise never used again.