I've never noticed a chaincase like that before, just the Raleigh/Rudge etc types. Theoretically, its a logical thing to do, but I doubt it did the weight of the bike any favours - not that manufactirers of old school roadsters seemed overly concerned about weight!.
The "case" actually doesn't exist as such, it"s a mockup of separate items.
The weight is near to nothing - from corner plates of zipper suitcases, attached along holes drilled in the mudguard, using stiff bent washing line, and the part above the chain (raincover) from a window rubber seal with a special rain diverting cross section.
It also protects the chainring and the rear cog.
The non drive side of the rear wheel, is nearly open. Because I tilted the mudguard towards the drive side.
On purpose, I can then easily wash out mud and snow. The mudguard protrudes *just* enough to the non drive side to reflect the tyre water sideways so not on me or the bike.
It all proved as doing the job.