The only times I've ever overlaminated cut (unprinted) vinyl was when I did inlay work with my flatbed. Some for fire engines one job for fuel trucks. Both involved complex logos with Scotchlite, printed Scotchlite, and multiple types of in-house produced hand-gilded vinyl. One was 8 inlays - 4 of 3m vinyl, three types of leaf (23k, 18k, palladium) on vinyl, and Scotchlite. I added a .25" overlaminate bleed to seal it all up. Installed fine and lasted for vehicle life. Both those projects were insanely pricey and involved a ton of work at the flatbed inlaying the films over other layers that had been cut and weeded, and they required being able to withstand constant washing and not lose tiny details. I DID NOT want to remake them for a piece falling out.