Today I was just cloning my RasPi4 SD card to an SSD adapter I bought from Geekworm, and in the process was met with a lot of pain due to this (what I’m going to call) bug in Home Assistant 2022.08.6 and OS 8.4. Currently 8.5 is not available to my Pi for download, without joining the beta channel perhaps.
I found through my own process of deduction essentially the same things as the above posts. I found that, compared to the process above posted by overkill32, you do need to install each addon manually, however you do not need to load each one before you restore a partial backup. Simply install them back to back, then restore those addons altogether.
The bug only happens when you restore an addon that is not currently installed. That addon will fail to Start, even though its Log will appear to be progressing normally, going back to the Info tab the Start button will be present again. Those addons will be greyed out on the Addons page as well.
Anyway, it saves a lot of time not needing to Start each one by one before restoring, at the very least. Hopefully they fix this bug soon for everyone.