What do you mean by Faces albums? I noticed that Face names did not appear on photos when I exported them and imported them, nor when I used Power Photos. Is that what you mean by Faces Albums?
When you name faces in Photos, the Faces album will show you the faces tiles - a grid of thumbnails with the key face for each person you named, like this:

If you click the thumbnail, you will see an album with all named faces of this person.
When you sync your library to iCloud each photo will keep the name associated with the photo, so you can search for the persons name on the other mac, but the thumbnails with the position of the face on the photo will not be synced. In the example above you could search for "Becky" on all all macs syncing with iCloud and find all photos of Becky, but the other Macs will not show the faces tiles. The position of the circles around the faces does not sync to iCloud and does not sync back from iCloud if you merge libraries this way. (Tag faces in Photos to find people on all your devices - Apple Support)
PowerPhotos cannot preserve the faces data either. If you export a photo with named faces, the face name will be added to the photo as a keyword. If reimport the the photo, you can search for the keyword. You need to enable these options in the Export panel, if you export a photo:
