No, actually, it is. It shouldn't matter whether the time is removed by
Just because the person wakes up in case 2 and doesn't wake up in case 1 doesn't mean that the two aren't equivalent; both involve the same duration of wakefulness, even if not the same number of wake-up moments.
If you knew precisely when you would die, and precisely how long you would be unconscious, and the date of your death was immutable except by these two options and your quality of life while aging was totally immutable, then maybe they'd be equivalent. But living your life further in the future increases the expected length of your life and quality of life, as well as getting you massive novelty benefits from living further into the future and seeing what is there.
Death is the cessation of 'you'. All things after you die, are inaccessible to you, regardles...
The question is - am I doing enough exercise?
I intend to provide a worked example for you to work alongside with your own calculations and decide if you should increase or decrease your exercise.
The benefits of physical activity are various and this calculation can be done for one or all of them; some of them include: