If you're after the experience, good for you. There's something to be said for that. But don't pretend that's not a bad wage for somebody they're hoping will come back in a few years and help them make hundreds of thousands of dollars.
What else would you be after for 1L summer? A lot of people work 20hrs at a volunteer job and then do a non law related job to make money. I don't think that 20/hr waiter job is going to help in 2L OCI.
It isn't like 2L OCI interviewers require 1L legal experience. The interviewers I've talked to thus far (Skadden, Fried Frank, Paul Hastings, etc.) have said that all they're looking for in an applicant's 1L summer is something to talk about. I've explicitly had one tell me that his favorite people to interview are people who took the summers off and went overseas, because they have something unusual and interesting to talk about.
Of course experience is key in order to get a legal job; but NOT experience during 1L summer. Like you have all been saying, plenty of 2Ls didn't have a job 1L summer and yet they get firm jobs.
Along these lines, it's silly to take a bad paying job "just to get experience." I would either hold out for a better paying legal job, and if that doesn't happen, *gasp* do something interesting with my summer. Either way, you get something valuable for 2L OCI without feeling like you're getting used at $11/hr.