I was curious about them as well a while ago, but specifically the guitar strings, since I burn through those pretty fast. I've gotten accustomed to soaking my old bass strings in a water/vinegar solution, which brings them back to life to my satisfaction, so I haven't felt compelled to buy an expensive string that rings out forever anyway. Sustain, IMO, is overhyped.
Unless I'm a two handed tapper, I don't need the instrument ringing all over the place, which requires unnecessary additional muting technique just to shut it up. 
As for the "science" behind their product, it looks like the guy has put some real research into it. But to what extent does any of it matter? Watch this video. His whole "inharmonicity" theory isn't hooking me because his strings sound dissonant and unpleasant as well, at least on the 12th fret demo. (At least the harmonic overtones of the tapered and standard strings are more musical being about a 3rd above. On his string, it sounds much more dissonant and out of harmony with itself, sounds like a B/C combo). And why, exactly, am I hearing dissonance at all? You don't hear it when you're playing normally in context and nobody's ever complained about it. On the open string demo, I do hear some improvement in his string vs the others - tighter, more focus note definition. But in the grand scheme of things, does anyone care? And especially for close to $100 for a set of strings?
People have been making great music on electric bass for 70 years using "standard" strings. In the end, the music comes through. I'm all for progress and innovation, but IMO, he's suggesting this is some aggravating problem we all have that needs to be rectified and that simply isn't the case.
https://www.youtube.com/watch?v=RIGKY8I7dHU