It's been three sessions since I rolled any dice in the solo game, and before that it'd been at least five or six sessions since they came up at all. (At least on my side of the screen.) It's not quite free form -- a few spells have been cast, and ability scores referenced -- but, as Trollsmyth mentioned about the time that the new style started, it's definitely shifted more towards relationships and social maneuvering, with the occasional desperate rescue attempt thrown in for good measure.
That's the key word, though: "shifted." The game started out solidly D&D. Lots of mucking about in dungeons, figuring out traps, and getting chased around by spiders. A lot of times my character ended up talking to the various dungeon residents rather than fighting them, and there was a brief detour to the plane of Fairey, but it was still mostly a game about treasure, the nasty things between me and the treasure, and the odd world-threatening artifact. A good game, but nothing too unusual.
Now, yes, it's very different. It's mostly talking, often about other people, and reacting to all the weird social situations my character's gotten herself into. Treasure's no longer an issue, and even saving the world has receded in importance. Now, I spend more time thinking about relationships, between my character and various NPCs, and between those NPCs themselves. An unusual amount of time, for me; while friendship, romance, loyalty, enmity, and other such bonds have always played a part in my games, we've been spending much more time than I'm used to dealing with them, sometimes to the point of simply playing them out. While I liked the game before, I'm greatly enjoying the change.
But it all grew out of that dungeoneering. Mucking about in dungeons gave my character something to do that didn't require complex relationships with several NPCs, or fifty e-mail's worth of setting knowledge. It was fun to do on it's own (particularly the kind of dungeons Trollsmyth runs, where you learn all kinds of things about elven history when you're not busy running for your life), but it also lent itself to developing the kinds of relationships that now support the game. The dungeon, after all, is how my character met those people in the first place, and the danger was part of why she started to care so much. It provided a backdrop, and a backbone, for the development of the friendships we're now exploring.
To take the most obvious example: The big turning point in the campaign, the moment when it became clear even to me that something different was going on, was when my character and one of the clerics she'd hired back at the beginning of the game got themselves involved in an awkward budding romance, and we spent most of several sessions just playing it out. But things had been developing in that direction for a while, all in the context of their adventures. He delayed an expedition half a day looking for her when she disappeared into Fairey; she opened the potentially deadly door into the Tower of the Stars partly so he wouldn't. When they finally acknowledged, and acted on, those feelings, it was with that history. Dungeoneering created situations where those moments could happen.