I chose NOT to call crew rest when I legally could, because I was comfortable to fly, it was a brief interruption, it was a short flight, there was another aircraft commander on board, I felt pressured to accomplish the mission on time, and I believed my chain of command knew before I took off that my rest was interrupted (they denied that I had explained that adequately over the phone, which I found plausible but not all that likely).
Sidebar:
Biggest lesson learned there was that when you are handed a AF Form 1168 and read your Miranda Rights, don't think you'll just be a bro and play it cool with your commander. I thought he'd help me out and be on my side. Turns out he threw me under the bus. Decline to comment and go see the ADC.