There's a slight chance that Verizon actually blocks some spam, but it's clear it is oblivious to much of the crap flooding email systems. My desktop email client is Thunderbird and it catches over half the spam that Verizon lets through.
In addition, just to prove that Verizon doesn't care, their Spam Detector page will not load.
If anyone has had any success forwarding spam messages to Verizon (I believe using abuse@verizon.net will not work), please reply with that email address, and thank you.