This is a very interesting question and I'm not sure where I fall on it. Streaming and monetization of digital licensed content is still very much in the Wild West days, both in terms of how relatively undeveloped the law is and in how corporations approach the issue contractually. I think one of the major problems is that we still don't have a very robust mechanism for revenue-sharing which causes a lot of unnecessary friction between the parties. If you can guarantee that all the stakeholders will be profiting from the activity, it makes it much easier to find common-ground on issues like content moderation.
Personally I'm somewhat partial to a solution that involves hosting sites contracting directly with corporate license-holders with respect to permissions, content-controls, and revenue-sharing/monetization. These contractual obligations would then be passed on to the individual user by the hosting platform if they want to benefit from monetization of licensed content. Having to rely solely on the DMCA to provide a legal framework for working through all these issues and problems is just an exercise in frustration.
So for a simplified example, Twitch/Youtube and Bluehole (PUBG developer) come to a contractual agreement which gives Twitch/Youtube permission to host streams of their licensed content and run advertisements. In exchange, Twitch/Youtube agrees to send Bluehole a portion of the ad revenue and to enforce content controls on their users. Twitch/Youtube then earns $100 in ads for PUBG on a platform basis; a third is kept by Twitch/Youtube, a third goes to the individual users, and a third goes to the developer Bluehole.
A monetized streamer then breaks the content rules agreed upon by Twitch/Youtube and Bluehole. Twitch/Youtube has a contractual obligation to enforce those rules/restrictions on their users and if they fail to do so Bluehole could pursue legal action to compel contract performance or receive damages per the terms of their contract. I would like for there to be greater freedoms for non-commercial users, although I admit corporations would have little incentive or obligation to do so.