I would be curious if you have any source for this. I spent about 30 minutes looking through google scholar looking for studies from the 1980s which included snow projections under climate change to no avail.

I even got an account to a british newspaper database website [1] to try to find popular discussion of this claim. I was unable to find anything in maybe 10 minutes of looking.

[1] https://www.britishnewspaperarchive.co.uk/search/results/198...

EDIT: I will also drop this citation for the general question of whether change is happening slower than previously predicted https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/201...