1) It's not just LOIC users DDoSing. There are usually small to medium sized botnets involved, especially on big attacks.
2) You said it yourself - there are tens of thousands of clients involved, and it's often difficult to tell because of #3 (unless there's a TCP/UDP message specified, which is a surefire way to ID attacks)
3) Most LOIC users use the /hivemind option, which turns control over to a master in an IRC channel. It can selectively throttle (most) clients, and spread the work around the net to make the attack more difficult to block.
4) They've got a standard line for getting caught[1] (sorry for the offensive URL)
The other thing to note is the time and expense involved in trying to identify and prosecute a few thousand people for participating would be enormous. We'll have to see if they try this time.