Crimped shells were phased in during the post-WWII era, but I think some were being made by the eve of WWII. Some paper-cased shells retained the roll crimp until later, mainly buckshot loads. By the early 1950s, most US shells had gone to the crimp. In any event you can pretty well assume that any shells with top wads are probably from before the late 1940s. There may be some foreign shells still using top wads, I believe Aguila is for their 2" 12 gauge loads, as it makes perfect sense in that application.
I have numerous boxes of crimped shells from the late 1940s and early 1950s, and advertise it prominently on their labels. Remington had a banner across the bottom front of their boxes that said "NEW REMINGTON CRIMP." Winchester and Western had "Super Seal Crimp" on their box labels saying that the crimp was sealed with wax (paraffin) to prevent water leakage. I have one box of Western shells from 1943 which mentions nothing about a crimp, and the shells have top wads.
"They looked cool, but all paper hulled shells would swell up and become useless if exposed to enough water. Us kids used to scrounge up the swollen and ruined shells to shoot for fun."
Remington made a line of shotshells especially for duck and goose hunters called "Arrow." They were coated with lacquer to prevent water damage to the paper case. They are very obvious as they are so shiny. I have also seen some lacquered European paper shell cases, I imagine done for the same reason. Winchester and Western paper shells (at least waterfowl loads) had a very heavy coating of paraffin. You could scratch it off with your fingernail.