Just sounds a lot clearer to me. Which probably translates to smooth treble and tight bass. The lambdas often emphasize the treble on purpose to highlight it, though I prefer the more nuetral stat models. It's also important to note that while good bass is possible on a stat, it can be difficult to design for, which is not the case on dynamics and planars. Honestly, if stats didn't require specialized amps, I think they would totally dominate the market. But that's just a function of the tech they use. It's a little strange to me that they aren't a bigger share of the upper market, but I think that's a function of people looking in that range already having a normal setup they've invested a decent amount in and being leery of having to jump on a different technologic pathway.
That's why used Japanese stuff is good though. Less than two hundred bucks and you can usually snag an entry level set with amp. Another fifteen bucks for a regulated universal power supply and you got a stat setup for less than an HD600.
I will say one thing that gets overblown a bit. Entry level STAX is 95% as good as upper level. I like my 007 Mk I a lot, favorite stat in the world, but my old Lambda Spirit which was like a tenth of the cost is almost as good, small treble emphasis and less bass. And my old SRM-Xh with a custom power supply is as good as anything short of a modern KG build or an SRX.