I listened to both the LCD2s and 3s before buying the 2s. switching back and forth several times I could hear a difference in the two but the difference wasn't necessarily any better IMHO so I didn't see the need to drop an extra grand on the 3s.
"The LCD-2 I'm using is currently using the Audeze balanced cable, so I suppose a cable upgrade could benefit the Headphones."
I definitely don't believe in the cable fairy. I tried 3 different cables out on my LCD2s last year at the bay area headfi show and didn't hear the least bit of difference between them and my stock cables.
Let's be honest, people who spend hundreds on a cable expect to get better sound so that's what they hear. If that makes them happy that's fine with me but I gave an honest attempt to hear any sort of difference from the stock cables to a Cardas, Norse or Nordic something? and one other and they sounded identical.
It might be the fact that the stock cable is already of good quality, which is very likely to be true for such hi-end headphones. But trust me, cables can make a huge leap in sound quality. I used to be a bit skeptical on that but I decide to give it a go and what I can hear is SIGNIFICANT improvement in sound quality. Both my Ultrasone headphones, JHA monitor and HiFiMAN HE-500.
In fact, it might be a good news to you for not believing the cable fairy as that could save you considerable amount of money.