The difference is that having single accounts on separate skins on the same network is not against a sites terms and conditions; whereas, having multiple accounts on a single skin within the same network is against terms and conditions. And, the question is not whether one is "cheating" or "not cheating," the question is whether it's right to take vengeance out on others because one was banned for violating terms and conditions of a particular site. To be clear, violating the terms and conditions of a particular site IS against the rules and it is well within a sites discretion to ban such activity. Whether one opens separate accounts to spam the platform with gay porn or if one opens separate accounts to take advantage of sign-up bonuses, it is still against the rules. To be sure, I understand why twitchy is mad because his main account was quite established and he had invested a lot into it, but that still does not justify the subsequent behavior.
So you admit that having multiple accounts isn't bad/against the rules unless you use them to cheat/gain an unfair advantage. So therefore, your comments to Twitchy were incorrect since he wasn't cheating or gaining an unfair advantage, he was just trying to talk to support to get his initial ban lifted/recoup the money that was stolen from him.
You should apologize to him.