From what I've played and read discussions about I'd personally say that Lovecraft only was one part of the inspiration as well as a whole slew of other authors and books. Will probably check it out though, as well as Sunless seas eventually. (Oh, just checked it out, Cultist simulator is also by the same people, huh.)
I pre-ordered Andromeda due to my love of the original trilogy, but my then computer couldn't handle the game, and by the time I upgraded it I had lost all drive to play it after seeing footage and reading reviews.