I exported a library with few repositories from upstream Satellite, imported on disconnected (downstream) Satellite and registered a host. Correct number of packages was shown on host. I was also able to install a random package from an imported repository. VERIFIED with Satellite 6.10.5
Since the problem described in this bug report should be resolved in a recent advisory, it has been closed with a resolution of ERRATA. For information on the advisory (Important: Satellite 6.10.5 Async Bug Fix Update), and where to find the updated files, follow the link below. If the solution does not work for you, open a new bug report. https://access.redhat.com/errata/RHSA-2022:1708