To me, it seems that these hosting providers have traded safe harbor under the law, for safe harbor under contract with their media partners, in exchange for content. In so doing, they enable those partners to send what effectively amounts to takedown spam, where under the DMCA regime they'd open themselves to a lawsuit if they didn't conduct due diligence.
How is that not circumvention?
Excuse the tone of my posts here: I'm very perplexed. I get that you're upset, but you seem to be completely ignoring, and here even dismissing, the underlying cause for your spurious takedown notice.