Oort cloud
The need for the Hills cloud hypothesis is intimately connected with the dynamics of the Oort cloud: Oort cloud comets are continually perturbed in their environment. A non-negligible fraction leave the Solar System, or tumble into the inner system where they evaporate, or fall into the Sun or gas giants. Hence, the Oort cloud should have been depleted long ago, but it is still well supplied with comets.