Feeling nostalgic for FAX spam? Let's update it for the modern era!
(Kidding. A little bit. The Web Bluetooth spec addresses these concerns at length -- https://webbluetoothcg.github.io/web-bluetooth/#security-and... -- but mostly as a "here are the many, many ways this could be used maliciously", with not nearly enough "and here's how we plan to prevent that" for my taste.
I gotta say this is an attack surface I'd prefer we'd left buried deep underground; I can't think of any device I'd feel safe allowing a website to pair with. Keyboard? Keylogger. Printer? Physical spam. Headphones? Audio spam. Who wants this?)