This is quite a regular repeated suggestion.
Full web-browser support inside of display sources
[Maybe too difficult] Integrated Web Browser TV Media Player
Media Player Browser - #5 by CarbonCopyCat
Media player needs to use Steam browser again
There’s more but a big problem is the chromium used for TU’s media players, it does not support h.264 codec which is what most media uses nowadays. So a lot of websites break (you can even try this yourself by slapping certain links into media player, some work, some don’t). And to have such a codec, costs money, per user. Which just gets astronimically expensive.
However, Media players used to use Steam browser, and we’re still waiting on a fix which was related to Youtube ads causing issues. Till then, we wait, but I can imagine Media players will at some point have a browser option. It’s just syncing it all that sounds like a nightmare.