I've commented on this a few times. Carr has a no-trade clause so the Raiders can either keep him on his current deal or release him. There is zero incentive for Carr to accept a trade. Any team willing to trade, (just for the sake of a trade value the #80 overall pick), for Carr's contract would presumably be willing to pay at least $1M more to Carr if they didn't have to give up the pick. If the Raiders decide to keep Carr his $33M salary for 2023 and $7M of his 2024 salary would become guaranteed. In that scenario Carr would still be able to block any trade and the Raiders couldn't justify having him as a back-up. Carr's family is settled and would like to stay in Las Vegas.
A trade has never been realistic. Carr took less money to re-sign with the Raiders as long as he had this '1st FA on the market' security blanket.