Well that's a problem then, because you're using the same term to refer to two different but related things. Well, it becomes a problem when you consider misandry. Sure, there's no systemic oppression of men (except collateral damage from the patriarchy). But there are absolutely individuals and groups of individuals who hate or are dismissive of men. We need a word for that.
I think the popular definitions here are more useful than yours, because it prevents misunderstandings when someone says something like "misandry is a thing that exists". They're not saying it exists in a systemic, structural way. Just that there are individuals who feel like that.