I agree with you for the most part.
I don’t have a problem with an elected official having a personal social media account. I would have a bigger problem with account that is non-personal. I’m okay with Trump or Greg Abbott account. I’m a little uneasy with a POTUS or Governor of TX account. It seems a little too official for Twitter etc. to have all the administrative abilities.
As far as FB being almost impossible to moderate, that’s exactly the point. The suppressed, and a large number of prominent political figures(not all elected) from a specific political party, while leaving up anti-Semitic accounts, terroristic accounts, accounts from elected members of the Democrat Party directly calling for things they accused Trump of calling of but could not actually find in a direct quote etc. They took down links the NY Post article on Hunter Biden. They do plenty of moderating, but it’s only geared toward their political agenda. That does not deserve platform protections. If what they were doing was against Democrat causes there would be no end to the outcry, and I would support the outcry! The answer to speech is always more speech. It is not censorship.