Right now I don't read that threat as credible, but, let's say, how about after the first few Congresscritters are sent home to spend more time with their families after an election? We gun owners, probably less numerous than voting Internet users (don't believe gun ownership self-reporting in surveys, for obvious reasons), with nothing more than our organized votes, have moved mountains at every level of government over the last three decades. Ask ex-Speaker of the House Tom Foley about our power (first Speaker to be turned out of office since the Civil War in 1862).
As the Internet, and good Internet service, gets every more important, the potential is there. Getting back to my analogy, the gun grabbers had a fantastic run for a couple of decades (or more than a century, depending on how you count this and gun control starting to really bite non-minorities), before politically effective resistance started showing results.
Why would you say this is a "demonstrably successful" action, btw? Has Verizon actually changed any of their business practices for the better? So far, all I can see is that they are tossing around legal threats. That's not progress; that's Verizon's gigantic legal team gearing up to make sure Verizon can continue to do Absolutely Nothing Positive about the issues in question.