Correct, but you don’t do both at the same time. They require different qualities in the body. Strength builders usually build up their Creatine to create extra ATP for those extra reps, as well as eating a protein-rich diet that often exceeds their caloric needs (muscle gain requires extra calories in all but very rare cases).
Cardio people tend to take in more water and a more carb-rich diet, which allows the muscles to have more readily available energy and support the blood in transporting said energy to the muscles while transporting the acids away.
Whenever I manage to actually stick with a training regimen, I tend to do one or the other dominantly. So if I focus on strength, I change how and how much I eat, do primarily strength (and yin yoga on the rest-days), and only do cardio in the form of kettlebell exercises in the mornings several times a week.
When I focus on cardio, I also change my diet and you would find me running, dancing or doing high rep martial arts and gymnastics exercises on most days, while barely doing strength building. I’ll wake up and do one set of pushups to the max, and may do a pull up every time I walk past an appropriate door opening just to keep the muscles from atrophying by showing the body I still use them (I do the same while fasting).
When you write a stage that caters to both styles, I can see two things happening. First, it’s less effective than focusing completely on one. Second, people will complain. Bodybuilders will ask why there isn’t a pure strength builder, endurance trainers will complain they don’t need bulky muscles to weigh them down.
On the other hand, having (a) foundation stage(s) followed by several Weapon X type stages that you can run around the time you are targeting their specific area may be very effective.