I have had this conversation with multiple lab proctors and the head of CCIE program at Cisco Live and yes, you do need 80% in each section to pass the lab.
But lets evaluate your argument for a second. Lets say that Cisco awards the OP with 7%!!! on a re-read, which would present the following approximate score:
100v = 100
This would still present a FAILING score on the exam as the OP would still need at least another question or two to pass the overall exam. He is still free to request a re-read and roll the dice for a passing score, assuming they give him credit for using an alternate method to solve the ticket(s), but as he is at least 15% away from a passing score in that section this is just too many points to overcome on a re-read IMO. Had he been 5-8% away then I would support spending the $1k