Marcus,
This is not advice.
I used to cut foam wings years ago. Sheeted plenty of them also.
Tried all kinds of adhesives. Near the end, when I had just about stopped doing foam wings, I found myself taking the skins and wings to my local Woodcraft Shop.
They would spray the surfaces with the glue they used, "commercial grade," for laminating Formica and veneers.
They never charged me because I would bring in coffee and donuts. Actually true.
These wings were sheeted exactly that way, in the 90's, and show no evidence of separation. Light too.
Worked for me on a bunch of foam wing cores.
This wing, the last of my foam wing models, and will be the last, is for an electric DF jet I'll eventually get around to completing. Eventually.
Charles