I don't think you've really experienced online abuse.
If you get in an argument with someone and they start saying nasty things, then it's simple to disengage. You just stop replying and you don't go back to the thread. In this scenario, your comment makes sense, but you should count yourself very lucky if this is the worst you've experienced.
Personally, I pissed off a cult leader and she sent her followers to harass me. They used email and social networks, among other methods, to send me regular messages accusing me of all sorts of horrible things. If I followed your suggestion of "stop reading them" it would mean I no longer check my email or social networks...
For those inexperienced with these matters, it may seem like I can just block the messages, but in many cases that's near impossible. A "professional" abuser knows all about VPNs and will just keep creating new email addresses.