The point of this (or any) protest is to persuade the public to support your cause.
In this case, I dare say it's been working. Everywhere you look, there's a distinct sense that the media and the government are on the defensive.
With that said though, you need to know when to cash out and leave while public support is high. Because if you stay too long you'll wear out your welcome and people will sour to you and your cause.
I hope the organizers don't think this is something they're going to just keep up forever until the government concedes to their demands, because that's never going to happen. After a certain point, remaining will only strengthen the government's resolve and send more support to their side.
Yes, this is logical.