Another interesting question that arises is of BitTorrent because they can work on any device and even behind a NAT. I am not able to get any explanation of how BitTorrent works.
This statement looks like you assume that bittorrent needs full connectivity to operate.
That is incorrect.
Behind a NAT device you will still be able to establish outgoing TCP connections. Which generally is sufficient for bittorrent as long as there are other, non-NATed (or NATed but properly port-forwarded) clients in the network that can accept incoming connnections.
NAT has no impact on the flow direction of the data because connections are bi-directional once they are established. It only is problematic for the initial connection setup.
This works perfectly fine for bittorrent because bittorent does not care from which specific node you get your data.
Although better connectivity generally does improve performance.
If the identity of the node matters or one-on-one transfers are an important use-case then other p2p protocols usually attempt NAT traversal first and if that fails rely on 3rd party nodes relaying traffic between those nodes who cannot connect to each other directly.
Additionally, IPv6 support will become essential in the future to maintain end-to-end connectivity because more and more ISPs are starting to roll out carrier-grade NAT for IPv4 while IPv6 will remain non-NATed
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