They don't get actual scenes depicting it, RD, but, yeah.. it's very heavily implied that a significant part of her mojo derives from it.
DFK! and I were commenting after watching last night (he comes over to view since I'm the one with HBO) that several things appear to be moving pretty fast. He was confused as to why Tyrion's establishing power seems to be drawn out much more than in the books, but I think I captured the reason in my suggestion.
It's not that things are happening fast, or slow -- it's that the series is taking a much more strictly chronological approach than the books, which Martin would allow to set aside some characters or regions for entire books at a time.
For instance, IIRC, Pike doesn't show up until A Storm of Swords. Theon gets sent off from the Riverlands early to mid-A Clash of Kings, and then just disappears for the rest of the book, while A Storm of Swords does catching up on the Pike angle. Instead, we see Theon arrive on Pike in the second episode.
Likewise, the reason it appears that Tyrion's rocking the Small Council boat is taking a longer amount of time is that in the second book, when Tyrion arrives at King's Landing, I think they kind of push non-King's Landing PoV's aside for a few hundred pages, so it "gets ahead of" the rest of the world, and it seems like Tyrion's this whirlwind of activity because he gets a lot done before time passes elsewhere in the world, as it were. Whereas here in the series, we're breaking that up with scenes for Dany, Theon, Jon, etc., and Tyrion's moves in King's Landing are stretching out for 3-4 episodes, it looks like.
But I'll echo DFK!'s curiosity here to see how the writers decide to pace, interleave, and edit Seasons 3 and 4 if it continues to get renewed.