That’s probably rather difficult because these websites are essentially computer programs that are rendering their content live. It’s like if you got an phone app to detect when another phone app is viewing something that looks like a book or document, and to then automatically make a paginated PDF of that app…
At least be accurate.
The “Pro” model iPhone has a lot of the features you are calling out the non-pro one for not having. Also no non-proprietary lossless audio streaming would be more accurate.