Natural gas is up $0.80 on the day right now. Also, the fact that winter is over has already been priced in. Natural gas often makes its annual low in Jan or Feb (see my update).
As far as inventories, I think they're a non-issue at this point. The big worry in natural gas is always the next winter. Why? Well, we only have so much storage, say, 3500 Bcf. Even if we magically ended this winter absolutely full, we simply wouldn't be able to add any more gas to storage. There would still be worries about whether we could make it through the 2006/2007 season.
It's like starting across the desert with a 10 gallon bucket. It doesn't matter if your starting point is a water fountain, or a water fall, all you have is that bucket to get you across.