Some folks I know who got visits from the Secret Service due to a joke one of them played a few years ago might disagree with you. At least no one went to jail, but it was more stress than any of them really wanted to deal with.
How does double NAT protect you from the jokers.. ?? Sorry but if you live in a shared house and someone starts playing jokes.. or actual serious crime.. I doubt the secret service and all the agencies you have in the US.. are going to burst into the door and ask.. ok.. who was behind a double NAT.. you are ok.
Everyone in the house is equally suspect.. and packets from WAN do not show anything.
But given the scant information given by the original poster ("we use the neighbor's wifi router with the password she gave us") do you feel comfortable just saying "I would prefer you to setup the TC in bridge" with absolutely no mention of the risks?
Your list of what a neighbour is going to do..
This way, if you have a network printer, an Apple TV, or some other advertised resource on your network, you do not have to worry about your neighbor using it.
is hardly a big concern.. if they print to my printer .. is that a major security risk.. or run airplay to my appleTV..
Apple systems are pretty well protected.. unless a person has opened shares without a password.. what is it that people are going to access that I should be scared about??
If it was the person who owned the internet service.. then I would give plenty of warnings.. sharing your internet service has implications then sure.. I would give loads of warnings.. but as the person who is "renting" access.. I would say.. if you are share internet you share what is accessible.. !!
As far as sharing my printer or apple tv.. it is hardly a security breach.
Double NAT btw will not stop a serious hacker.. there are methods to get around it .. it might stop casual peeking.
Many people live in shared situations.. in our part of the world sharing internet is not uncommon.. we often have little choice given how poor access is here to decent broadband.. services can be denied because they changed policy one day. So your neighbour who is willing to share gets access and you get dial up.. Very few people run into problems.. but the person who needs protection is the service owner.