Earlier this week, McConnell and several others posted a video of a group of protesters who gathered outside the lawmaker's Kentucky home in order to demand action on recent mass shootings. The profanity-laden footage featured individuals hurling threats at McConnell. Twitter found that the video violated its abusive behavior policy -- which bans threats against an individual or group of people -- and froze McConnell's account.

The disciplinary action against the GOP leader ignited outrage among bastions of Twitter's right-wing followers. Republicans agreed to boycott the social media platform by halting paid ad campaigns.

Rather than targeting the Kentucky lawmaker solely, Twitter also suspended the accounts of several others who posted the video in an effort to prevent it from spreading. Twitter initially offered to unsuspend McConnell if he simply deleted the offending video. The company eventually decided to allow the video to remain on the site with a warning for sensitive media. It has selectively applied such warnings in the past in cases when rule-breaking content is still in the public interest.

Conservatives have long argued that social media giants such as YouTube, Twitter and Facebook are biased against right-wing causes and accused the platforms of censorship. The social media giant has suspended the accounts of right-wing figures and conspiracy theorists, including one that had been retweeted by Trump only hours earlier. Still, it's unclear what incentive the social media giant would have for censoring a sizeable chunk of its user base. Both Twitter CEO Jack Dorsey and Facebook founder Mark Zuckerberg met with various conservative leaders earlier this year to hear their concerns. Back in May, Twitter deplatformed Ed and Brian Krassenstein, a pair of Anti-Trump activists who used bogus accounts to boost their reach. A move like that is an example of Twitter scrubbing bad actors from its site regardless of their politics, but it hasn't done much to quell the calls of anti-conservative bias.