Browser companies can't handle payments unless they decide to pivot to becoming a payments company like PayPal.
The API and standards talk in the article is putting the cart before the horse. There is currently no way to send money peer-to-peer without an intermediary that can handle the bank transfer, and intermediaries tend to charge a lot for this service.
Because of this, the best options are to add a PayPal or Ko-fi button on the site, with the understanding that the publisher won't be receiving the full amount you send.