"refuse emails" already exists, that's the "hard bounce" thing that the OP is talking about.

Phishing and malicious links exists on every kind of messaging - email, forums, whatsapp, telegram, SMS... you name it, it has spam/phishing. You'd think that at least "real name" or "pay a bit per message" might discourage this, but example of SMS (text) shows otherwise.

With any system the server operator will be able to delete messages, and/or gatekeep information - unless you have some sort of "big brother" setup where every message goes through government-operated monitoring server, and I cannot believe anyone intentionally choosing such a system.