He wants it. "I wish it were me" implies but it’s not, and yet he doesn’t say that. He does proceed with:
Let me tell you, it was a great experience running for
president. I loved that. But my time has come. I had — come
and gone. I had that opportunity. I ran, I didn’t win. And
now, it’s time for someone else to pick up the baton.
It’s time for someone else… but what if no one else materializes?