Unusual, but not ridiculously absurd. However what's the point? What exactly are you trying to ask?
However you have stumbled upon an important astrophysical constraint on the spatial density of heavy particles, by looking at the implications of their capture by degenerate objects. Both white-dwarfs and neutron stars have been studied carefully in this fashion to see what they tell us about Dark Matter and other cosmic exotica. If too much Dark Matter was captured, then more white-dwarfs would supernova and more neutron stars would become black holes.