For me, it depends on your definition of "recover".
In the olden days before anyone had learned how to spell "CGM", I would occasionally wake in the morning with the worst type of hangover: I felt nauseous, I had a terrible headache and, it was the worst hangover because I hadn't had the fun of any substances the day before. It was a hypo hangover. Sure, I woke up at the usual time and eventually recovered (took most of the day) but probably not what you are suggesting and not pleasant.
If my CGM reported a low but had not alarmed (or I slept through it) and felt fine in the morning, I doubt it would be a "real" hypo.
Thankfully, this is rare now I have a CGM to tell me if I am going low and wake me.