So let me get this right, you're a regional captain, working for one of the bottom regionals who has been hiring pilots with 200 hours. You're completely fatigued due to both the horrible schedules and the fact that you have to watch your FO like a hawk and constantly fix their mistakes and fill in for their huge gaps in knowledge and experience.
Now you're supposed to take a nap and while maintaining complete responsibility of the airplane and whatever bad happens, give sole operational control to this first officer? You wouldn't catch me sleeping in this situation even if I was allowed to. Many FOs at many regional airlines, the captains don't even trust enough to leave the cockpit for a 30 second run to the lav, much less a half hour long nap.
You wake up, the FO says "nothing changed. oh yeah and also they gave us this phone number to call, who knows why."
Yeah. Right.