There's a big difference between dietary carbs and muscle glycogen.
By eliminating dietary carbs, you cause your body to switch from burning carbs ('cause they're not available) to burning fat - and voila: you're in ketosis!
Glycogen stores are another matter entirely: glycogen stored in the muscle is used directly BY the muscle during exercise; it is not available in the bloodstream, and triggers no insulin surge. It is burned up by your workouts...which is why workouts on a CKD go from strong to weak: as you approach re-feed, your glycogen stores bottom out, *BECAUSE* you've used up your glycogen & have no fuel left for the workout. BUT IF YOU ARE NOT IN KETOSIS THE WHOLE TIME, YOU'RE DOING IT WRONG!
Let me say this very clearly, and please, don't mind the caps:
THE WHOLE POINT OF THE CARB-UP / RE-FEED IS TO REPLENISH GLYCOGEN...SO YOU CAN CONTINUE TO WORK OUT...SO YOU MAXIMIZE YOUR FAT-BURNING & DON'T LOSE MUSCLE WHILE YOU'RE IN KETOSIS.
That said, I haven't used coconut oil/MCTs; I fail to see how exactly they would help the transition into ketosis more than any other fat, as the "burnability" of the extra fat @ the front-end is immaterial to your body's making the switch from insulin to ketones. Once you're IN ketosis, it may well be that CO/MCT could make your workouts more energetic/fierce/whatever - but that's a completely different part of the equation!
Hope this helps.