What I always did was as you say... I'd open Time Machine in Finder and determine which backup I needed to try...
That is
not what I said I do. I have
never done that. Please re-read what I posted in my reply #10. There are three numbered steps. None include opening the
TM backup volume in Finder to "pick a backup date" to use. The whole point of opening
TM in its own window
AFTER selecting an item to backup in Finder, is to cause
TM to indicate there even
is a backup of that, particular item in your backups.
Then, you can browse the 'pages' or the active date/time 'scale' to pick the one you want to use for the re-store. I cannot see any reason to ever look at the raw TM backup directories, which should never be touched/deleted/moved/etc.
In the second screen shot, you seem to be showing the various hourly backups on 8/8/21 (Those are the only things that might be listed on the right-hand date/time 'scale'. Why you would look at them that way is unknown to me. But it just confirms that you don't have any other backups to use except the one ones since 8/8/20 when you erased the
TM volume.
As for there being no "cascading" pages of available backups. the images you posted don't show that there aren't any. There are no dates/times prior to "Today". As you posted earlier (original post on
August 08, 2021, 12:40:46 AM), you have erased the
TM backup volume and re-named it. That completely removes any and all backups before that date/time.
I have never had the need nor desire to restore the whole OS from
TM and that is not the primary purpose of
TM, anyway. It is designed to make backups of any items you may have changed in the last hour of computer use. It is what is called an "incremental backup". This is somewhat the opposite of a CarbonCopyCloner or SuperDuper backup which is easier to use for a whole volume restore. A
CCC or
SD backup will NOT have copies of all the changes you made to an item several time during the day; it will have only the last version of that item.