When recording 2 x stereo you'll fill the card up twice as fast as 1 x stereo but you won't hit the 2GB per file limit any faster.
You might have to tweak the H2 recording in a DAW afterwards for best results (playing around with the stereo image and a bit of eq to taste) but for the simplicity of operation and the quality of the outcome at the price, especially in 4 channel mode, IMHO it's hard to beat. For acoustic music you've just got to set it to "M100", position it, press the red button twice, and there you are.
Well, OK, you've got to turn it on first.
If you used an R-44 with some first class mics, you would get a better result of course, but it would set you back rather more!
For best results with the H2, don't ever use any of the bells and whistles - eg limiting or compression - they're in there for marketing rather than usefulness, unless you've really got no way to use a PC on the result afterwards.