I'm guessing that people saying that they will only watch their favorite videos one more time, are people that have slow internet or don't have video downloading software.
If I the internet was about to delete itself in an hour, I would download whatever funny videos I hadn't already downloaded in the past.
Download Helper Firefox add-on is my friend. Finds the where the video file you are watching is, and you press download get it. It also converts the video to your favorite format. I use .wmv because it is the only type of video that plays on my 360. Usually those are funny videos that I want to show my friends and I know their isn't a good Net connection where we are meeting.
Fap, material would be a waste of time for such an emergency. Besides, if I fapped to it, it's already been saved or downloaded into a secret spot on my computer.