I don't know that Carr will or won't be cut. I do know, from over a decade of history, that Loomis and the Saints are not going to give any consideration at all to what the fans think they should do, when they make their decision.
That may have once been true and I don't think they will decide on Carr based on what the fans want and they shouldn't, but Gayle did mention that fan displeasure is at least part of the reason she decided to fire DA mid-season. The other part was feedback from the players.