I've never heard of anyone waking up in the middle of the night to get insulin.
I've done it. If I run really high overnight, I sometimes have to get up to go to the bathroom. I test, and if it's high enough I take an extra shot. (I'm Type I.) To do it requires that I first awaken because of the polyurea.
The trickiest (although very rare) event is when I suspect I'm running very high overnight because I've already crashed and rebounded. (I think that is called the Somogyi effect or some such.) That is a mess.