I always ask for reasons for the rejections, but I rarely get a response. Some will give insight (as I stated in my original comment) but the vast majority will not tell you any reason.
I am just offering a piece of data to refute the "negative unemployment" claim and its ilk.
"Practice Interviews" are a thing. Have you considered trying such out?
I haven't done a practice interview, but another poster offered to help me with that. I may take them up on their offer.
This experience is not even at odds with the original quote from the recruiter - when the recruiter says "qualified", all they mean is "able to succeed in the hiring process companies are using". Unfortunately, that definition of "qualified" often doesn't have much in common with the usual definition of "capable of doing good work". The parent commenter may well be qualified in the second way but not in the first.
It's unlikely you'll get a response like that after a 'no hire' from legit companies. They avoid giving that kind of feedback because of legal ramifications.
I did finally get a position. It sucked in a lot of ways, and my commute really sucked. But after a year, I was coming from a recognizable, local name and that appeared to make all the difference. So now that I actually like my job, I filter head-hunter mail to a separate mailbox and write pro-forma 'no thanks' in batches.
[1] I am mostly honest in my work history. I suppose I lie by omission - I don't want to ever write Java again, so I've purged references to it from my resume. But it seems that a lot of folks find creative definitions for words like 'experience'. I know some whom I didn't hire did, and people I know are not terribly embarrassed by admitting it. It would be interesting to see some anonymous survey stats on the question.
An outsider perspective: 12 in-person interviews is a high amount of interviews without receiving an offer. I've failed my fair share of interviews but never that many in such a short amount of time.
If I were in your position I would try to get as much information as possible why you weren't accepted. Anecdotally, Austin should be a promising location for tech hiring. It may be a personality clash or a lack of preparation. I have bombed several interviews because I didn't take the time to practice Google-style interview questions. It took me 2 months of practice before I was ready to interview successfully in SF, coming from the East Coast.
Fancy CS degrees and golden pedigrees get your foot in the door. The technical interview is up to the applicant to pass or fail. It looks like you get your foot in the door pretty well. Now it's time to focus on what you can do to convince these businesses that you will help make them money.