Wouldn't the people at the front of the line start leaving and coming back to the end?
That sentence does not even come close to properly addressing it.
pkaye mentioned one of the critical flaws with the plan, and you quoted the article as if he missed the part where it addressed the flaws. But it doesn't address them, it just says "maybe my plan doesn't make any sense, not my problem".
In any case, I'm just reiterating what the article says about this point, not sure what there was to disagree about.
With normal FIFO queues you're free to abandon your place in line if, for example, you decide it's taking too long and you'd rather do something else. If later the line dies down you're free to go get back in line and you're not being a jerk.
However if you get stuck too far back in the LIFO queue, then it's actually in your best interest to abandon it and come back later. But there's no socially appropriate way to do this.
I think if you tried to do this in the real world it would quickly devolve into a mob. Random order would probably work better.