For those whose My Connected Media does not transfer or who have streaming urls that do not play in Streaming, here is an option. This basically creates your own My Connected Media view.
In MC23, tag all the entries in My Connected Media with a unique tag. You can use some existing tag or create your own. I have created a Media Sub Type Audio tag and one of the allowed values is Internet Radio.
Create a new view called Internet Radio, for example, and customize the view to select Internet Radio from your tag. You should see all the entries that are in My Connected Media in that view. I created that view under Audio, so it is a top level view, on the same level as Streaming.
When you move to MC 24, those entries and the View should all transfer. They may not be visible in Streaming and if they are streaming urls, rather than websites, they will not play in Streaming. But they will be available in your Internet Radio view and will be available to zones and DSPs.
It would be nice to have these incorporated in Streaming, but this is an option until that is done.