Sounds squishy.
"Should not"? Really? He should have used the word "Won't".
Also, not a good sign that he speaks in the 3rd person. He is not using the first-person "I Won't Confirm a...", but the softer "A confirm should not happen", as if he is some bystander to the process.
I believe, theoretically, that Obama could appoint a vacancy SC justice during a Senate recess. The appointment would stand until the end of the current Senate. He has shown before that he is willing to make moves like this. Nothing these people do surprises me anymore.