What would be an example of actual misandry (systematic, institutional hatred by women of men leading to harm)?
So, I think that is where the conversation breaks down. We simply have different understanding of the meaning of the word misandry. I think you are suggesting that misandry can only exist where it leads to systematic institutional hatred by women of men leading to harm.
I take a much more simple view - misandry simply means hatred of men. By your argument then, can misogyny only exist if it leads to systematic institutional hatred leading to harm? Or can misogyny exist outside of that? For example, misogyny in someone's mind - as long as it doesn't lead to harm, is not misogyny?
I am not sure that is played out by how we have written our laws on discrimination, or the generally accepted academic understanding of the word BUT I accept what matters is what it means to each person. So, in your understanding, misandry can never exist - mainly because misogyny got there first.
In answer to a slightly altered version of your question - What would be an example of my (MM) understanding of misandry (systematic, institutional hatred by women of men leading to harm)?
That is a really good one. I might have to look into that. I would imagine if any examples exist they would be few and far between.