A private, for-profit social media service can decide which customers they want business from and which customers they don't want business from. It's one of the main rights you have as the operator of a business: the right to refuse service.
The conspiracy theorist's right to free speech doesn't mean Twitter is obligated to carry their speech, either.
If you dislike this your best available remedies are 1) find a service who wants your business, or if none such exists, 2) start your own social media service, or to "solve" the problem for good, 3) engineer the existence of government-operated social media services such that law mandates all citizens have unfettered free speech on the service
Stop government officials from making policies on twitter and we will consider twitter private company. Still, no one thinks there should be additional regulation on something like twitter? The past account hack just made me think it should be scrutinized more.
Twitter has the freedom to allow public officials to use the service for either personal or professional purposes. Many government agencies in many countries use Twitter to communicate with citizens via the service, similar to how they use Facebook or e-mail.
As far as President Trump goes, Twitter has had to make policy exceptions in order to ensure his continued access to the service, AND legal proceedings have also resulted in rulings that govern his specific use of the service (for example, he's technically not allowed to block citizens.) As such it's not especially useful to look at Trump's experience on Twitter and try to generalize it to anyone else.
I am not saying they shouldn't ban accounts or allow free speechers. But I don't buy they should be allowed to do whatever they want because they are private company. If the past hack resulted in market manipulation or a bigger shit show, should twitter be liable for that?
The conspiracy theorist's right to free speech doesn't mean Twitter is obligated to carry their speech, either.
If you dislike this your best available remedies are 1) find a service who wants your business, or if none such exists, 2) start your own social media service, or to "solve" the problem for good, 3) engineer the existence of government-operated social media services such that law mandates all citizens have unfettered free speech on the service