This is actually a very interesting development.
Twitter has become a vital part of communication for for both private and public sector.
Yes president's formal means of communication with the masses is through a press conference but de facto twitter is used as a more quick form of communication.
This vital form of communication is in complete control of a private entity.
This entity has effective control on who to silence. Now we can argue that this is a private company and can refuse their service to anybody, it is their right but reality is not that simple, twitter has become a vital part of communication infrastructure, which is used by the public sector as well.
So although yes, Trump lies, he manipulates the crowds and he may have instigated the attack on US Capitol I am not sure it is right for a private company to block communication infrastructure.
We can all agree that it is great that twitter suspended his account specifically because he is Trump but then this becomes a precedent does it not? Twitter now has the power to limit official's forms of communications effectively reducing their ability to communicate with the electorate (compared to other politicians that are allowed to continue using this platform and hence have an advantages since election is essentially a popularity show/ PR project).
I do not think private companies should be able to silence elected officials. This seems wrong.
With this precedent set, Twitter can continue silencing those who they view as undesirable and in this day and age being able to communicate on twitter is vital to gather public support. So Twitter will essentially have the power to influence elections.
This is not a simple thing, this is a dangerous precedent. On the hand one could argue that the media always had that power and that nothing really changed, daily fail and the sun influenced the electorate before and will continue to do so, so why does it matter that twitter has joined the big boys club.