Have just done a clean install (i.e. uninstalled Alfred 3 first) to Alfred 4.0.1 b1078.
Running on macOS Mojave 10.14.5 on a MacBook Pro (13 inch, 2017, Four thunderbolt 3 ports)
Have been able to set the "macOS Accessibility preferences" and the "macOS Contacts preferences" but as the title says unable to set the other 2 preferences as Alfred 4 does not appear in the selection settings.
See attached screenshots.
Have searched but can't see anyone else having this problem.
Look forward to a solution.