I also don't understand pushing the "Kyrie doesn't have a no-trade clause" narrative. Very few players ever have no-trade clauses and they still force their way to teams all the time.
If a player has a no-trade clause, then it gives absolute power to the player. Even if they don't, like Kyrie, it certainly behooves teams to work with that players list of teams.
Like the Paul George situation, everyone knows that Kyrie has that same no-trade clause on CLE yet he's forcing his way out. So if you are a team not on "the list" and you know Kyrie can/is forcing his way out with the same contract you would be getting, are you really giving up prime assets to get him knowing he will do the same to you?
Sure, the no-trade clause opens up the door for a team not on the list to throw caution to the wind and offer a big package in hopes they can convince him to stay, but that seems somewhat unlikely. It's definitley possible though.
Long-story short, even without a no-trade clause, many times we see exactly why the list of teams from a player still matters.