The article refers to it as a UX issue multiple times, but it sounds like a UI issue. Am I wrong in thinking these terms mean:
UX: User Experience (what it's like as the user to experience using the product/website)
UI: User Interface (the visual interface the user sees and interacts with)
Often times a poor UI can lead to a poor UX. So it's not to say that it's unrelated to a UX issue. But it sounds to me like it's the UI that should be displaying the red dot to let the user know they are being recorded.
Stop using Chrome. All of you. Now.
-Tuxman
While I've become more and more wary of using Chrome and Google products as time goes by, and have been taking steps to reduce (and maybe eventually eliminate) my usage of Google products, it seems like in this case you could just not grant the permission to the site to record you in the first place.
Another reason why it's not always possible (or else it is very inconvenient) to switch away from Chrome is because some sites/services require certain Chrome extensions that are (AFAIK) only available on Chrome. Such as
MetaMask.