Did you find what the P0033 was? I'm having the same issues and getting ready to replace the HDM, based on all the great advice from here.
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http://engine-codes.com/qa/23364/p00...-fix-this-code see if this is it.
Thanks for the code breakout...I was on my way to the dealer, who doesnt list an HDM, like Ive heard about on this and other forums. Is the Lo-Beam relay the same thing? Thats all the dealer listed for headlamps; lo-beam and Hi-beam relays...Anyway, I was on the way to the dealer and noticed my headlamps are working again. Obviously the relay isn't out like a fuse. Can they start to go out and work intermittently, or was it more likely just loose?
Should I go ahead and get it now?
The relay can definitely work loose. I had it happen to me. I was driving down the highway and , BAM, low beams went out. I switched to hi beams and they worked. I got to the next exit and pulled into a parking lot and they magically started working again. Low beams went out on me 2 times after that at random times. I popped the lid to the relay box and pulled the low beam relay, reseated it, and have no had the issue since.