The future of Fox Networks Group

Wouldn't it just keep it's current programming?

I’d imagine so. Before its rebrand to FOX a few years ago it was already perfectly happy to source programming from anyone and everyone as long as it fit the channel’s profile.

Just like how the CBS branded channels show plenty of content that's never been anywhere near CBS.

Worth nothing that the Fox Network in the US (along with its O&Os and Fox News, Fox Business, and the national Fox Sports networks) now has nothing to do with the Fox Networks Group as a result of Murdoch retaining those properties.

I’d expect the FX brand to disappear in the US eventually (or at least get a new logo that doesn’t associate it with the broadcast network).

It's not really got enough programming to sustain it, with a drastically reduced set of programmes at the moment. Also, I imagine Disney might want to drop the current content associated with Fox US.

FX UK used to air a lot of FX US shows, it has always supplemented them with bits from elsewhere but they were what gave the channel its edge.

As part of advertising new 6, 4 or 3 month sponsorship packages, FOX UK has said:

With new content like War of The Worlds and returning favourites such as NCIS Season 17 (which is up 10% on last year), Fox has secured 5th position across pay TV Channels in FY20 but is expected to climb this year.

https://www.skymedia.co.uk/opportunities/drama-on-fox-2020/