I am not a fan of liquid democracy. I think it's an interesting idea, but I don't think it's the silver bullet solution that its proponents have made it out to be. Thus why I didn't bother to even explain it when it was pointed out; I helped make fun of it. (It was never clear to me if the upvoters realized I was doing that.)
If you really want my opinions, then you can read https://news.ycombinator.com/item?id=4493663 https://news.ycombinator.com/item?id=4658896 https://news.ycombinator.com/item?id=5998145
I don't spend time on liquid democracy or first-past-the-post or cumulative voting because I think that focusing on the mechanism is useless. It might be part of the change, but making it the centerpiece of any kind of reform fixes a symptom, not a root cause. As you say, "it only outputs one thing, the A or B in a box". It's not a solution to change "How would you like to die, by rifle or pistol?" to "How would you like to die, by rifle, pistol, or machine gun?"
I've spent the last three years learning about how democracies are supposed to work. And you know what? Everything I was taught in school is wrong. Everything people are taught about democracy in school is wrong. To build an analogy, we've been taught that "if you double-click on the spinny E icon, you get the Internet". That's not technically false. It's just woefully misleading.
Of course we're disillusioned with democracy. We were never told what it was; we were told it was awesome and good and we should be very happy about it. We weren't told anything of substance. Our school senates have no power to speak of. Our leadership organizations are only capable of teaching us management skills. Our community service programs teach us about charity.
Where do we learn about civics? Where do we learn about jurisprudence? Where do we learn about legislation? Where do we learn about opinion-gathering? Where do we learn about journalism? As adults. If we're interested. When our biases are fully formed.
Americans then go on to decide that democracy has failed and should be replaced with futarchy or neo-monarchy or technocracy, ignorantly presuming that they've even tried democracy.