SUT045 is confusing

My skills, especially in tactics have always lacked, so I am, in no way, trying to be an expert. I'd just like to see what people really think. It will probably turn out that I have overlooked something really simple or really esoteric and artsy. I'd really just like to learn. Now that I'm done with the rambling disclaimer...

SUT045 entitled "Dark Square Domination" has a solution that I found a bit confusing. The solution suggests a queen sacrifice 1. ...Qxf4 2. Rxf4 Bg5 which pins the rook on F4 to the king on c1. However, it seems to me that 1. ...Bd6 is a better start because you get white's queen without sacrificing your own. The hint suggests that the answer lies in the using a pin tactic. Well, the white queen is pinned to start. She's not going anywhere!

Black's rooks are positioned such that a 'brute force' attack down the h-file won't work. Furthermore, even the fork resulting from 1. ...Bd6 2. Ne4 seems to fail because of 1. ...Bd6 2. Ne4 BxF4+ 3. Rxf4 Qxf4+  In this position the fork is negated because unless you move the king the knight has to interpose. So black winds up +11 in the exchange and, IMHO, fully prepared to overwhelm the lone rook on white's kingside. Thoughts?

If you started with 1...Bd6 then whites queen could simply take the black queen.