It wasn't even funded in the way funding a study usually means. That an entity handed over money to a research group. The study was done by employers in their work time for their salary. Its a Novo Nordisk study, and as you say its right there in the open. Pointing an llm against the paper to (wrongly) realize this is a real tragedy of literacy.
I think it rubs plenty of laymen the wrong way to not make it a bit more explicitly known.
The world could use a bit less nuance in our headlines these days.