1.) People who don't know anything at all about random number generation, and just want a web form where they can press the button and get a random number.
You hardly need a hardware random number generator for this, or any kind of serious randomness.
2.) Acting as a neutral, trusted third party, for contests, etc. Dooce just did a big Microsoft-sponsored Kinect giveaway PR circus bullshit event, and they used random.org to pick the winners.
Unlike 1, there might be actual money in this, and is one of the few, amusing, businesses where the more money you charge, the higher the perceived utility.
3.) Providing random numbers as an advertisement for your fine line of hardware random number generators. Here it doesn't matter how much money you make, you just want people to buy the hardware that made them. Oddly enough, none of the random number services (and there are quite a few) do this, for some inexplicable reason. There's not even an argument-from-proprietary technology, since HRNGs are supposed to generate perfectly random noise, and there's no way an attacker could stage a replay attack.
In any case, I think this design qualifies as "quantum" because zener diodes at 5.6V and less work through quantum electron tunneling ;)
But is there anything it’s useful for as it stands? Or is it better thought of as an experiment in distribution?
Make your decision based on quantum-generated random numbers, and you're guaranteed that an alternative-universe counterpart of yourself made the opposite decision. Thus if your decision turns out to be the wrong one you can at least console yourself that there's another version of yourself who didn't make the same mistake.