A sleepy PNF is better than none I assume?
Rather than worrying about the state of the PNF, if we are going to read things literally then 'THE PILOT woke the Co-Pilot', not "had him woken" so it is a good job this did not all happen at 1:55am with just one pilot, one asleep and the captain out of the cockpit.
It seem illogical to criticise how awake someone is, when there are probably numerous occasions when you are happy to accept just one in the cockpit.