My opinion is that it's a commercial scope, probably made after 1951. (The military M82 scopes seem to have the sunshade as a standard item).
Why? It has the "ALL WEATHER" marking, which is associated with a commercial Lyman scope
If one see's a "B" prefix Alaskan with "
7634671" on the adjustment housing - it's definitely a military scope. (The other give away are 5-digit part numbers on the turret covers, as seen here, but I think that might be more of a 1944-45 production characteristic - but not 100% sure):
View attachment 8003947
As noted in the 2004 GCA article
"Alaskan scopes without military stamping and marked "ALL-WEATHER" on the adjustment housings are almost always commercial scope."
One caveat, I have seen one low number B-prefix Alaskan that
lacked any markings on the adjustment body, and my guess is that one might have been a military scope given it had the sunshade, but its wasn't clear to it's origins. Perhaps they forgot to stamp it or perhaps it was an early scope from 1951 diverted to the military order (for 3k scopes). At least that is what the collector thought about his Alaskan scope that lacked any marking on the adjustment housing, but it had the correct sunshade and rubber eye piece. I can't recall what serial range it was, but I think it was an early B-prefix. Again, the markings (or lack there of) on that order from 1951 are a bit of a enigma, but in general. "ALL-WEATHER" = commercial scope.
(Note: The US Army doesn't like vendors to include "marketing" stuff on their items, like "ALL-WEATHER", hence Lyman removed that from military scopes. Also, the boxes the military scopes were shipped in also lacked all the fancy graphics/marketing of the commercial Lyman scopes - they were just plain brown boxes. I wish I would have taken a picture of that collector's original Lyman military shipping box, but he moved away from this area years ago.)