Can you cast Windows 10 Xbox app to TV

If you are talking of movies you have purchased from the Films & TV app, then you do not need to do anything, as the Xbox 360 and Windows 10 have their own Films & TV app, just log in on the device you want to watch those movies, and then launch the app.
Your movies should show.

If you have movies that you have purchased elsewhere and using the app to watch them. You only need to turn on the play to option on the xbox 360, then when you start the app on Windows 10, start a movie, then in the bottom corner of the film there will
three dots. Select it, and choose cast to device. The Xbox 360 should show up. select it, and it should play on your console.

I am not ready to upgrade to windows 11. Cast has always worked on windows 10 and now after an update to the Xbox Console (to replace groove music with Windows Media Player) cast no longer works. Note, this isn't isolated to my windows 10 devices. No UPnP devices (Android, IOS, etc) are able to cast to the Xbox One console.

Ok, but isn't my laptop using miracast services to cast to other devices? It should be possible to do it between my laptop and console, and there are various examples demonstrating this (although from what I've found it's casting windows 10 to an xbox one)

On the Microsoft Store for the Wireless Display App, it says "Microsoft's Wireless Display app lets you wirelessly project your Windows or Android based devices to your Xbox One".

Getting in the technical weeds, are they doing something different than the others? It is casting for both apps, right? So how can Netflix opt to include Xbox as a cast option, whereas Hulu doesn't ... especially if both cast to a Samsung TV? Appreciate
the insights!

Cast content it's a service or you maybe think on it more as a feature, and could be some pending updates on your windows 10 that you must check trough the windows update app

You mentioned tht you use third party apps for this, those probably would also need updates after the change on the app for music on Xbox