I don’t believe a recession is priced in at all. What has been priced in would be Fed getting to 5ish, pausing, then doing QE. That could cause a mild recession and it could knock inflation down but inflation will continue to bounce back with any QE until we get a few more years down the road. my opinion.
I could easily see going back down to the mid 3000's, and lower if the Fed has to go to 6%