I don't understand why they need all the checking. I would guess that those that 1) paid $2,000+ for the trips, 2) had most flights posted showing they actually did travel, and 3)have good original documentation and submitted it to LP, will all pass muster as to validity of their flights, hotels, etc. People are not going to risk the time and money by not fulfilling one requirement and then creating fake documents. If there is an area of concern - flying on a code share, etc., then check that out. The time and cost they are spending on these will not result in any meaningful refusals.
i.e. A flight posted from CCS to Bogata, and then one posted Lima to Cuzco BUT missing from Bogata to Lima. Do they think someone took a cab between Bogata and Lima??
Oh well, wait and see. Waiting 4-6 weeks after sending in documentation is ok -- but it appears from some of above posts that the wait could be closer to 3 months or longer-- not acceptable.