Hi,
I think the issue is somewhere "in-between" for Apple.
There are many threads, with many contributors, here at the Apple Discussions.
However compared to how many Computers are out there and the numbers using iMessages the numbers are relatively small.
This will mean at time we will get hints like your s that there is concern at Apple whilst the action is still digging around trying to find out why as they don't have a fix yet.
Whilst the issue in OS X 10.8.2 was directly tied to the absence of the Serial Number on repaired Machines we know that since Mavericks similar issues of the Apple ID listed for a Mac has been an issue for some since then.
For some it is the Upgrade to OS X 10.11.
For some it seems it is the Update to 10.11.3 specifically that causes it.
As to what machines it is happening on it is difficult to tell.
I thinks I have seen both older and newer hardware listed n posts.
Most "Me Too" posts don't contain that info anyway.
I also don't think it is one type such as Desktops rather then Laptops or Mac Minis and Mac Pros that don't have cameras for instance.
On top of that it is a rule in the Terms of Use for this site that Polls cannot be carried out.
7:57 pm Sunday; February 7, 2016
iMac 2.5Ghz i5 2011 (Mavericks 10.9)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad