You are correct in large percentage of production, but not all of it. I have had in my possession since 1971 over 1600 original WWII slings and I can tell you the Khaki fabric varied. When production was on, there was an occasional input of fabric from different suppliers. Not much, but it did happen. You are talking about the bulk of production, not the exceptions.
There were also dot fasteners on all Ordnance contract slings, except for one producer out of Rhode Island. That company use Rau Fasterner hardware which was marked "Klikit Pull". If I recall the contract was from late 44 thru mid 45.
According to your description the above Inland is not GI? Wrong, as I said I have had both Inland and Quality Hardware Slings with Crisscross patterns. This Inland was removed from the package to get this picture.
It does not show up well, but here is the same crisscross pattern out of the Quality Hardware package:
https://www.milsurps.com/images/impo.../04/qual-1.jpg
Sometime in the future when I dig out my 65 plus slings I will take a better picture of this one.