Fans need to have patience with Moore and the Front Office.
Stating an opinion only, but given the inevitable discussion on the state of the QB position, I believe that currently the team (in whatever collective decision making capacity) sees Carr as their best bet for the coming season in terms of WLT. This is likely based on an assessment of the low probability/possibility of FA and/or draft additions that will do better in 2025.
But regardless of any floral tributes being given out, he's a bridge QB for the Saints until he proves otherwise, and the team plans to move on with the best option available to it, as and when that option arises.
So any contract restructure will be designed with that in mind, as much as possible, to give the team future flexibility. Remember that Carr's original Saints contract did not actually commit the team to him a huge amount and effectively gave them the option to walk away from him after two years of the four year deal. I don't get any indication that they are more committed to him now than they were then, based on performance and potential of the team with him as a starter.