While I don't own the 605 (I have the 805), this certainly is not normal. You have troubleshot the issue down to it being the amp (I am assuming you checked the obvious, loose cable). I used to be in the car audio business, and when somebody had a problem with their car stereo, they always came in saying that it must be a loose wire. Drove me crazy.....it was never a loose wire!
If it is under warranty, I would have the unit looked at. If it is not under warranty, it may not be cost effective to have it fixed.
My HDMI has never blacked out on me (or any other source for that matter).
You should not have to wire around your receiver as you have. It more or less defeats the purpose.
Good luck.
Scottiemon