Introvert is not a 4 letter word

I got turned down for a job today.  One that I think I actually wanted. It had a lot of potential to be interesting and different than what I do since it had generalist roles incorporated into the benefits roles. The few people I met seemed super nice.  The company is in the process of "turning HR around" from being unapproachable and mean to open and fun. They said all the right things and I thought, well I didn't necessarily think I said all the right things but one of my interview failings is that I don't try to hide who I really am.  I answer the questions asked essentially the same way I would answer them if Michelle were asking me the question.  Well according to the recruiter I was working with I knocked it out of the park. I reassured her on the 401(k) stuff. I answered everything right... until.  When asked the question "how do you unwind or destress" I said something to the effect of "I go home and veg out mostly. Working in HR you have to be "on" all the time and since I'm essentially an introvert I like to spend my after work time relaxing and being quiet."  Something like that.  Apparently they don't want an "introvert."  Keep in mind, I've charmed 4 people in the interview until this point so clearly I have social skills and the ability to talk to people.  I even mentioned that working in HR for the past 11 years, I know what it takes but during my down time I like it to be just me.  I'd feel sad about the loss of this job since I think I did want it, but I find myself so annoyed by this "no introverts" attitude that I'm fine with it.  I am seriously sick of job hunting though. I may have to take a little break.