I agree with you for the most part, but there is a thread you missed.

While there might not be a significant leftist media personality which says misandrist things, there are a lot of smaller people who do. There’s an air of “men are not welcome here, specifically cishet men” in lefty spaces. And people who try to speak out against it tend to be ousted. (Case study Erin Pizzey) There wouldn’t be a demand for “male tears” mugs out there if there wasn’t a demand for them.

Whether you think this behavior is acceptable or not, it doesn’t make the left seem appealing to young men, especially because it’s not called out by people.

But yeah, the top down media? A huge machine that’s a problem. The left will have a hard time replicating it, especially because when you live in hyper capitalism, it’s not really in the benefit of capitalists to try to fix it.