I agree with the points made by both Rafarendum and murph here. I believe you're judging FSG's motives far too early in the game. They've avoided promising things, which can be taken one of two ways: either they don't intend to do anything for the club, or they're wise enough to be wary of their words being taken out of context. It's disappointing that they have not invested heavily in the squad or the stadium as yet, but our January window was an awkward one considering it included a change in manager and arguably our best player jumping ship (and most people believe we came out ahead of most of the clubs in the league despite these things), and I think you appreciate that the stadium issue is not one taken lightly when it seems a significant percentage of fans do not wish to leave Anfield, as well as concerns regarding our ability to fill a 70,000+ seater as a Europa Cup club.
They have shown that they will act when they need to by buying Carroll and Suarez regardless of their cost, and even if it turned out that they simply spent the money earned (plus a bit extra). Don't forget that the rumour was we had 30m in the kitty, which was offered in full for Richards and Adam after being rebuffed for Young. Yes, they were not pro-active in the transfer market, but again consider the late appointment of Dalglish and the fact that Henry could only meet with him in person once half the window was gone.
In all honesty, despite how long it has taken us to get to where we are after H&G's disastrous reign (and considering their current attempts to claim damages from the previous board and presumably the club) it is perhaps best that we ride out the rest of the storm before putting eggs into baskets. Given that LFC is still a massive club in world terms (recall that Barca and Real essentially have a monopoly on all the money in Spain, so we're 6th best of the rest despite never having won the Premiership), considering that our debt is essentially cleared, and taken with Henry's pledge that profit would be re-invested in the club, we are actually in a strong position financially. We certainly stand better than United, have better monetary foundations than Chelsea, Spurs, or City who *rely* on outside investment rather than generating it themselves, and currently stand better than Arsenal who spend most of their money on their stadium [though we could easily go down that path too]. In fact our financial foundations are strong enough for Henry to not *need* to milk every penny from us, so doubting his intentions is unwarranted and simply comes across as "guilty until proven innocent" bitterness (that part of the ugly side of the club that burns flags and shirts, and places unnecessary pressure on our players by forcing them to pledge their commitment to the club in the media every single day). We could use a bit more searching for the silver lining rather than bluntly stating there is none.