Being in ketosis is inherently catabolic, and no matter how efficient the body can be trained to use fats vs. glucose, glucose is a superior fuel source. Glycogen in the muscles is directly related to how much "work" the muscles can do, and the amount of work muscles do is directly related to how they grow and strength is acquired. No matter the ketone levels or the body's adjustment, glycogen is simply going to get you further on much less, leading to more strength gains.
If you are carb cycling, you aren't on a "real" ketogenic diet, especially because odds are you are losing all the subjective benefits while the body readjusts to the ketosis state after coming out of it, which usually takes a couple of days. You might be the anomaly that eats carbs on weekends and then goes right back into ketosis monday morning, but for the vast majority of the world, that's not a thing. Even straight fasting takes 24-48 hours at a minimum, so you're only really in ketosis 3-4 days out of the week anyway, if you are cycling carbs every 5-6 days.
Anyway, a normal diet that contains carbs will lead to superior strength gain. If the goal is strength (like mr. 4000 calorie oil drinker up there) then ketosis is not an efficient way to do it. Can you make progress? Yeah, especially if you are effectively knocking the rust off after a couple of years out from lifting. But it is 100% not the best way to go about it, hence my statement of the road being long and unnecessary.
The more I read about ketogenic diets, the more I'm convinced they're a stupid fad. Used for treatment of very specific medical disorders? YES! But for anyone approaching normal, they are roughly as much benefit as they are detriment. You might be the anomaly, I don't know.