It'd be pretty funny if the movie was somehow Lovecraftian, but I'm sure it won't be.
I actually had a funny idea once about an At the Mountains of Madness movie. It'd be shot entirely in a Discovery Channel type documentary style, like Cousteau exploring the sea, as if it was just field footage being filmed for the purpose of making an educational picture. It'd be a film presented by the survivors, produced by the Miskatonic University, with the lead Cousteau character initially pleading the audience not to watch it and claiming that he is only bringing the footage to light to keep the world from continuing his work. It would even be narrated by David Attenborough, who would eventually descend into madness as he reads the film to its end.
Basically, imagine this except with Elder Things, eyeless penguins, and a shoggoth.