Warner TV built it's existence on the Warner Bros. studios lot with a variety of drama series, animated shows and films. For sometime, Warner TV had been extending it's reach in Europe replacing several TNT channels and while some do remain active they have since been flagged as Warner TV.
With this split, I'd imagine the content would be undergoing some type of restructure and Discovery being loaded with debt will likely minimise the amount of content licensed from Warner Bros. They have content from HGTV, Discovery Channel and Food Network maybe that's what fate might await those channels.
As for the name, Warner TV or at least the trademark belongs to Warner Bros. so it's most likely that Discovery will look to rename these brands in the coming months or later in 2026. Best guess would be that channels to have gotten folded under Warner TV revert back to their previous trademark being TNT.
I mean it wouldn't seem far fetched as you look at the streaming service HBO Max which was shortened to Max to alienate it from HBO only for them to abandon those plans. Same thing with the merger between WarnerMedia and Discovery which formed the controversial Warner Bros. Discovery.
If WarnerMedia had retained its cable networks before merging with Discovery I bet it wouldn't be called Warner Bros. whose linear portfolio is limited to just HBO. Global within Discovery wouldn't be there had it not been for Warner's fleet of networks.
