It's worth reiterating that the name TNT Sports has zero resonance in the UK. It's simply not a brand here. So they're starting from scratch a bit. I've yet to really see much in the way of marketing explaining it all, and even as a BT Sport subscriber, they've not made things that clear (and I follow the industry and *know* what's going on).
They do have a good roster of sport, but to be clear, they remain second-placed to the Comcast-owned Sky Sports who have a much stronger set of rights. Sky has more Premier League games which is critical, but also other football (soccer). Sky also has everything from F1, cricket, international rugby, the entirety of golf, NBA and NFL, and loads more as well. BT/TNT may also have US college lacrosse, but, well... :-)
The other thing that TNT/Warner Media Discovery really need to square off is their overall branding. Warner Media Discovery also owns Eurosport, and they're making TNT and Eurosport available within the Discovery+ app. Within the world of cycling, there's also the GCN sub-brand (Global Cycling Network). That does mean that presenters of the Tour de France will reference Discovery+/Eurosport/GCN when they're on air! I guess that if you're already triple-branding your coverage, what's adding a fourth brand in TNT to the mix?
I guess their problem is that they have different brands and different sets of rights in different countries.