I read the article you suggested. My Mac Photos 1.0.1 (215.65.0) doesn't have the information
that is presented in this article only: 797 Photos 17 video. If I understand the article it says that
this information about MacPhotos and iCloud Photos and how they are interacting will be at
the bottom on the screen, if iCloud Photos is on -- and I get a note at MacPhotos to sign in to
iCloud Photos (which I presume I have done when I go there and sign in).
At iCloud it says: 846 Photos & Videos Updated 1:17pm today
This shows the right approximate number for the several hundred images I deleted.
Curious is that the last updating was in Nov 2017 -- but that might be as I was at about
1300 photos and perhaps reached the about 1600 images I read you can store for free.
The article says that the synch happens only if iCloud Photos is on. I did choose for it
to operate in the Apple>sys pref> iCloud options -- but as I have been saying, I can't
get in there to check it because when I try I get the spinning wheel. Once I reached
the limit of the images one can put on iCloud for free, might it have automatically 'shut off'?
-- and for now I can't check to see if that is so at Apple Sys Pref > iCloud (as explained).
Is my reasoning correct that doing all that I have: deleting manually from both MacPhoto
first and then iCloudPhoto; perhaps the iCloud Photos filling with 1300 images for the free
space allotted, and then deleting the deleted items at first Mac Photo and then iCloud Photo
has basically 'mixed up the messages' being sent and received by the Mac system?