Hey there!
I also had the same issue with version 16.0 in pop os 20.10 (kernel 5.11). Followed your advice and upgraded to version16.1.0 and then 16.1.1. The player launches now but new vms are not shown in the home menu and neither can I open existing vms. Creating new vms will created all the files in the vmware folder yet no vm is shown in the home menu and neither can I open them.