Check out CT’s forum. Search “Best Damn Cardio” and you’ll see that lots of people have asked the same question. Here’s one of the many threads created…
I think you’ve established a baseline with the program so you’ve satisfied his request to run the program as written first. You might find that your time restrictions and goals require a different training approach. It is what it is.
I’m currently running CT’s Guaranteed Simple Strength and Size program. I love it. But there isn’t a lot of room for conditioning. I like to run sprint intervals and do complexes for my conditioning but it would interfere with my lifting program. I’ve settled on finishing my program and then changing my focus for a bit to allow me to bring up my conditioning.