Haha. I am just about to get into lifting myself so was unsure. The advice is sound, though!
However, I think I prefer having cardio on the same day as the workout.
eg.
I do something along the lines of:
Mon
SS A
20 min run
Pressups
Squat/lunge
Wed
SS B
HIIT
Fri
SS A
bodyweight circuit
Sun
Swim/hike
SS being starting strength, alternating between ABA and BAB. I did try basically what you recommended but with SS but find it less tiring to do cardio and weights on the same day, for some reason.
I'm not sure whether I actually like SS much. I did consider moving to SL because I like the 5x5.