I do understand your point, but I've said it already in this thread, the concept of keeping politics or "wokeness" or any other form of socio-cultural messaging out of sport is unrealistic.
The NRL currently has programs and initiatives addressing women's involvement, indigenous culture, disabilities. NRL was the first code to formally support the gay marriage vote. NRL sanctions players for bringing the game into disrepute even if the offense is not strictly criminal (e.g. racist comments etc.). The NRL sidelines players charged with serious offence, even if the trial is yet to reach court. NRL actively promotes men's mental health issues.
These are all examples of the NRL getting involved in non-football matters. Yes, in an ideal world there would just be football and no nonsense. And Fox Sports would have nothing to comment about.
But if you are to legitimately remove/sideline "inclusiveness" or LGBTQI messaging from the game, then OK, but it follows you have to remove all the other sorts of messaging and community initiatives, because the NRL should not be allowed to have a bias towards any single message or stance.
Also - the division you talk about, it already exists. There is already a divide in society towards minorities, so to request to have that removed from sport, because you don't want to be reminded of real-world divisions whilst you watch footy, ignores the reality of division within society.
For example the stigma around depression and getting help - we could conceivably say "I know these people suffer, I just don't want their struggles rammed down my throat during the football".