It also looks like the second survey was sent out in June 2024 - so the data is 10 months old at this point, another reason why this it might be early.
That said, the latest round of models are the first I've started using more extensively.
The paper does address the fact that Denmark is not the US, but supposedly not that different:
"First, Danish workers have been at the forefront of Generative AI adoption, with take-up rates comparable to those in the United States (Bick, Blandin and Deming, 2025; Humlum and Vestergaard, 2025; RISJ, 2024).
Second, Denmark’s labor market is highly flexible, with low hiring and firing costs and decentralized wage bargaining—similar to that of the U.S.—which allows firms and workers to adjust hours and earnings in response to technological change (Botero et al., 2004; Dahl, Le Maire and Munch, 2013). In particular, most workers in our sample engage in annual negotiations with their employers, providing regular opportunities to adjust earnings and hours in response to AI chatbot adoption during the study period."