Should only people who can verify they are educated be allowed to post messages? Without verification you would have read access only.

Nah, anyone's ability to fully memorize a few books and pass tests mnemonically alone shouldn't enable greater rights.

Educated in what? Education is a broad field with various different kinds of expertise.
I wouldn't trust a backend developer to be my doctor and I wouldn't trust my doctor to be my accountant.

*downvoted*