That is what they told me too.
I called back the next day and told them that restoring didn't help.
They sent me loaner free of charge which had much better battery life.
Then they sent my original phone right back, it had thr same battery life,
so called again and received a brand new phone with the 5 screen today.
Funny thing is that the Apple Care online status of my first return never changed from "Received" even after I got my original phone back. This time it
changed each step, and said this morning that it had been "Exchanged".
Keep calling Apple.