A better analogy: Twitter is like Fedex refusing to deliver your packages based on your politics, not the electrical utility company.
In case you don't know, FedEx or pretty much any delivery company are free to refuse shipping your parcels.
A cursory googling is enough to allow you to discover fedex's shipping guidelines.
And to make matters worse, this radical group doesn't even care if the information is available or not, they only care about spreading it as far and wide as it's conceivable and attack anyone that they deem reactionary, including social networks that flag posts as having unsubstantiated information.