Forced binary choices on single-item, self-report questions produce scientific junk, absolutely. This kind of design / approach encourages not only magnitude errors, but also sign errors (you can't even trust the direction of the observed effect).

IMO, growing up, unless you lived under a rock, it seems obvious to me that you will have experienced different people pointing at the same colour and uttering very different colour labels (pink vs. red, blue vs. green, black vs. deep blue/purple, etc) from the labels you might have applied yourself. Differing/shared colour perception isn't exactly a rare kind of topic (almost is like the canonical stoner topic, also common online), so I'd be a bit surprised if this demo is actually introducing anyone to this concept already. Any excitement is surely from other implications people think the demo has.

But unfortunately there are no interesting implications from what this site shows. Yes, it demonstrates the boring fact that: "it isn't clear how different people assign different color labels to the same physical stimuli" (and yes, this is FALSELY assuming that everyone's monitors/screens are the same too), but if you didn't already know this... I'm not sure exactly what social context you could have possibly grown up in.