As mentioned before, if someone wishes to host their own video, they can purchase a domain of their own and host any content which they wish that so long as that content is not illegal. Video was streamed on the Internet before there was a YouTube. It can be shared without it.
Though I believe you may have been thinking more about video hosting services. That link will take you to a few that are listed on Wikipedia. But the available services are not limited to those.
Hosting video cost resources (storage, network bandwidth, computational effort for video conversion, so on). For some of these services, those resources are paid for through advertisements. For others, the resources are paid for by viewer subscriptiosn. And for others, the resources are paid for by those that are creating the videos. A video creator can choose what fits their needs best. Sometimes a mixture of monetization methods is used to pay for the resources.
That’s a philosophical statement that may be based on one’s value judgements. It is something on which reasonable minds can come to different conclusions. I’m not inclined to argue value judgments here. But I acknowledge this as your position.
I will point out, however, that your uses of “public” and “private” here appear to refer to the trading status of the company, and not public and private with respect to the application of the law. A publically traded company can still own property that is not available to the public. Purchasing a share of GOOG doesn’t entitle one to unfettered access to Google resources. In speaking about the fiduciary requirements that GOOG has to its shareholders, there is the goal of keeping the company profitable. Given the loss of ad revenue from advertiser boycotts across Google (not just YouTube) when YouTube allows a certain type of content to stay up or stay eligible for ads, it is in the interest of the shareholders for Google to keep in place restrictions of content allowed on the system and allowed to earn ad revenue.
I might need to get some emotional support for it in a few years, not sure I can hold it together. LOL.