I have owned both a POD 2.0 and a J-Station for about 4 years. The J-Sation can be a "better" sounding unit if you have the software and learn how to use it (and the digital out can be a welcome feature for those who embrace that side of technology). However, it is very limited as a stand alone unit (if you buy a used J-Station make certain you will be getting the software).
I prefer the POD mainly because it is easier to use without editing software (although for deep use you do need to use the POD software) - Candidly, I think you can get plenty out of the POD without the software.
I purchased the POD and J-Station because I didn't have any decent amps and would not have known how to dial up good tone even if I did have amps (my main axe is drum kit, followed bu jeys). During the last couple of years I have purchased, rented and/or borrowed various amp/cabs/combos and little by little I am learning what so many have said since the start of emulation - the emulators simply do not sound as good, as punchy, as articulate (chosse your own words) as well mics cabs. And I was always willing to speak in support of emulation.
The lack of brightness, sparkle, depth, mentioned earlier in the thread - is what is wrong with emulators. With a certain amount of tweaking you can dial more tone in, but it still ain't a real amp. Note: I have run my POD/J Station though a BBE "sonic maximizer" and it has made a world of difference (I worked with a real good guitar player who used a BBE in his live rig and I was very impressed with his sound = so I tried one in my guitar "recording chain).
I still think emulators have a place - in particular for people who can't blast a cab do to young children or worse, old neighbors. I use emulation more than real amps - mainly because I live in a condo - but lack of shimmer in the recorded tracks is a very real potential concern.