I'd do it.
I think people on this forum are overly concerned about "chronic cardio." 45 total minutes of running among obstacles, followed by some bodyweight work, is a beautiful thing. Would I do it 4x weekly for the rest of my life? No. But I'd do it 2x weekly, or daily for a week straight 4x times a year.
Chronic cardio is pounding out 30 miles on the bicycle on weekdays, plus another 150 on weekends, as a matter of course.
Chronic cardio is running 5-20 miles 4 days a week for months at a time.
Chronic cardio is even just wasting a hour on the elliptical every morning, when you could be doing something useful like sprinting and lifting weights.
Chronic cardio is a lot more cardio than people here think it is.