Every device that is a member of the Standard GC, must also be a member of the correct IP Domain based GC container for sync to PC.
If this isn't done, the inventory for that standard GC as seen in the PC group inventory for the Spectrum DC will not show the correct members.
Only the devices that are part of the IP Domain based GC container will show in that view.
I have a Performance Management lab integrated with a Spectrum lab. It only uses the Default Domain, so I only have a Default Domain named container based GC created by the integration.
If I go to the Manage Groups page, I can expand All Groups->Inventory->Data Sources->Spectrum->All Spectrum Landscapes, I can browse the synced standard GC's and their memberships.
When I look at one in that PC view it has 10 items. In the Spectrum OC client for the same GC, it has 26 items. The difference is that the 16 models missing from the PC GC Inventory are not present in the Default Domain container GC for sync to PC.
If I add them and they sync, they then appear in the PC version of that GC in the All Groups->Inventory->Data Sources->Spectrum->All Spectrum Landscapes group tree after everything syncs up the new items.