looks like its not the tubes on the inside. I see a tube/wire that looks melted coming out of the firewall and to the back of the engine/IMRC. it looks more grey than the black tube going out, but unfortunately that may be it. I've yet to find a picture of just where it connects, haven't lifted the car to look from below to see if its visible.

Sounds like I may be driving with just the defroster vents working for a while.