Fog's also an obstacle, and according to your interpretation, by RAW, you can see into or out of fog regardless of distance (because the rules say that you can if you're adjacent, but never say that you can't if you're not adjacent). That's obviously not intended.
According to the alternate interpretation, by RAW, you can't see into or out of tree spaces. That's also obviously not intended.
In either case, there's an error. Under your interpretation, it's in the AoD manual. Under the alternative interpretation, it's in the FAQ. All else being equal, an error in the FAQ is far more likely, because it hasn't been examined as much (due to being more recent) and because the FAQ has an even worse track record that the rulebooks. But all else is not equal, because the fog rules are specifically about LOS and the FAQ ruling about trees is in regards to Acrobat "and others," making it ENORMOUSLY more plausible that the person writing about trees could have overlooked the LOS implications than that the person writing about fog could have done the same.
Unless you're arguing that you really should (by design) be able to see in or out of fog from any distance, "how the game works" works at least as much against you as it does for you.