It could have just been an attempt to generate buzz by Pataki, who is struggling for traction in the polls. A new study by George Washington University's Graduate School of Political Management and Zignal Labs found that Pataki commanded just 0.2 percent of social media's political conversation this summer.
But it's already clear that Twitter will provide Snowden an enormous platform, should he decide to wade into the campaign's policy debates from Moscow. Within four hours of his first tweet, Snowden had amassed 400,000 followers.
Snowden's revelations about the National Security Agency's vast web of domestic surveillance made international headlines in 2013. But until now, the issue has largely been dormant in the presidential campaign.
One notable exception: an intense back-and-forth between Kentucky Sen. Rand Paul and New Jersey Gov. Chris Christie during the first Republican presidential debate that ended with Paul repeatedly yelling "get a warrant!" as Christie called the senator's NSA opposition "completely ridiculous."
"It seems to me that domestic surveillance has totally fallen off the radar," said Stephen Vladeck, an American University law professor who edits a national security blog called Just Security. "I find that both disappointing and surprising."
Vladeck said increased attention on the fight against ISIS is partially to blame, as Republican candidates have focused on out-flanking each other, when it comes to aggressive foreign policy platforms.
"I would have thought that, especially in this Republican primary field, surveillance especially but a whole host of national security issues in general would have been fat fodder. What can Congress do about ISIS? What can Congress do about surveillance reform ... Guantanamo?"
Vladeck recently posted six potential debate questions about national security issues, including what candidates would plan on doing when a key portion of the USA Freedom Act expires in 2017.
But, as much as Vladeck is hoping for a high-profile debate about domestic surveillance, he doesn't think Edward Snowden's Twitter account is the thing to kick-start it. "Snowden started this conversation. I don't think he's the best conduit for this conversation."
"Too many folks have too strong of feelings about him personally," he added. "I think he's an important figure, but I don't think this conversation is going to be led by him."
Regardless, the Twitter community took notice. Here's a Twitter-produced gif of where in the world people responded to or tweeted about Snowden's new account: