Obviously, if it said that it makes you immune to "all divinations," the question would have never been voiced in the first place. So, it comes down to the question: Does See Invisibility "gather information?" I believe that the spirit of the law answers, "No." There are many divination spells which you could clearly say do gather information. See Invisibility does tell me something is there that I didn't know before, but I feel this is a technicallity and not how the author originally intended it.
2 cents,
Patrick