The only thing controversial is you saying someone with a differing opinion is acting like a 9 year old. This is only serving to further reinforce the general feeling that PMs are overall useless, overpowered, and undersupervised.
Likewise if it's a problem my camera is off except in certain meetings (with clients or whatever) then bring it up to me. To this day that has yet to happen. Shockingly, work gets done, I listen to the important points of the meeting and talk when needed, and I don't have to let someone look at me while I'm not looking at them. It sounds like you have a problem communicating without a face to look at. If it helps, you can tape faces to the screen or request people put an avatar/photo of themselves up for you to talk at.
I am paid to write code not sit in 10 meetings a day. If I raise the issue everyone gets all pouty. There is an unspoken feeling of being forced to attend every meeting assigned to you just in case something feels useful. You deliberately ignore this to make your (absolutely wrong) point.
I keep my camera off all the time because I don't like having it on when I'm tabbed off doing my actual job. While the PM is bleeting on about whatever they feel is important I can do actual work.
Cameras shouldn't be required. Learn to vet your employees.
I found this process strange at the last company I worked. While the service required photo evidence of the documents they allowed you to elect a "representative" who can verify the documents physically. Typically at other jobs I had that were remote a company official would verify photo copies of the documents and use either a video chat or other means to corroborate them.
Likewise if it's a problem my camera is off except in certain meetings (with clients or whatever) then bring it up to me. To this day that has yet to happen. Shockingly, work gets done, I listen to the important points of the meeting and talk when needed, and I don't have to let someone look at me while I'm not looking at them. It sounds like you have a problem communicating without a face to look at. If it helps, you can tape faces to the screen or request people put an avatar/photo of themselves up for you to talk at.