Nice to see there are a few people who know what they are talking about. You are absolutely correct in that IP addresses cannot be faked. And I agree with all your other points. Sadly, too many users on this site open their mouth without really knowing what they are talk about. Nice to see a few stand outs!!
Quote from jprad:
There's no such thing as a "false" IP address. Spammers are most often charged with theft of service because they've hijacked someone's server via a vulnerability and used that server, and their internet connection, to distribute their spam.
And, no, there are ways you can access the internet in a completely anonymous fashion.
Any free, open access, WiFi is a potential entry point. Slap a virtual machine running a Linux distribution that only runs in memory along with a network card that allows the MAC address to be changed and you're good to go.
However, all that only gives you anonymous internet access. It's not going to help you one whit if you're already under surveillance by the authorities nor will it help you with access to a particular site, like this one, that requires a login that's authenticated via an initial email that contains a verification URL.
For that layer you'd need to get a truly anonymous email account, which isn't all that easy these days.