Point guards are the easiest players you can get to run your offense, but they aren't important if you have one or more wings that can do the same thing.
It may be better to commit to the positionless trend and see Kyrie as a point of defensive weakness that cannot be fixed. I'm also pretty sure he won't like making room for Tatum and Brown to reach their potential. Rozier or Smart aren't the answer either. Rozier just doesn't quite play big enough defensively and Smart can't shoot.
Longer term, we could instead start another defensive oriented wing that is quick enough to cover guards and who can consistently hit 3's. If we can get a quality resource for Kyrie, maybe we should let him go. I'm no cap expert, but it looks to me like we could clear room for a major free agent if we don't sign him and are willing to move Smart.
Hayward can run the offense and that Tatum and Brown will be able to as well as they evolve. We are in an amazing position where we have three big talented wings who all shoot very well, who all play rugged, flexible defense, and who all can attack the rim. On top of that, we have the most versatile big in the league to play with them. Let's go big and positionless and see if anyone can hang with us. Even GS has a couple of holes when they go small.
Kyrie doesn't give us that.