[zajio1am]

I would disagree.

First, system that forwards traffic behind its own IP address is called proxy if it works on application level, and NAT if it works on IP level. So we have socks proxy, but home router with NAT.

Second, VPN is just a fancy name for an overlay network over WAN. Overlay network is overlay network even if it only contains two nodes - your host and a remote router providing internet access.

I do not have direct experience with these VPN services, but i would guess they work on IP level and not on application level. So they are just ISPs providing service through overlay network (VPN) instead of access network or physical network.