Hmm, still seems a bit ambiguous to me, sounds like that's saying you can enter Denmark to start a job as a sportsperson or an artist, which would be different from doing it as a visitor.
Anyway, not defending the SFA one iota as they should have been well on top of it, but having had to travel twice during the pandemic, I have a tiny bit of sympathy -- the clarity of information available to people having to go from A to B is generally pretty abysmal.