Holding off on breakfast is a small tweak that is used to force ketone use for fuel and spike growth hormone. It is not a requisite to make CNS work... CNS was written without this at all and works exceptionally well as written.
The morning fast was written into CBL, partly to help people that consume carbs every night still use fat as energy, and to accelerate the small daily fat-loss window in CBL. Your fat loss window on CNS is all day, every day. However, you don't need that post workout food if you are sticking to a workout regimen that works with CNS... i.e. intervals, but no steady state cardio.. if lifting, never lifting to muscle failure.
Since you are on CNS, you spend your entire week pulling your energy from fatty acids, so one of the benefits of extending your overnight fast is already lost.
Ultimately, I wouldn't be overly concerned about applying fine-tuning techniques to the diet like morning fasting unless you reach a point that your fat loss stalls out and you need to find something to push you over a threshold. Should you choose to extend your fast, ensure you have good intake by 12-14 hours since your evening meal to avoid muscle loss, and feel free to use MCTs or butter anytime as small amounts won't interfere with the morning hormone cascade.