Starting strength is also a beginners program where people are weak enough to recover in a couple days and add weight to the bar each session. I need three full days between squatting and deadlifting. Really it's to give my lower back time to recover. Otherwise I start getting really sore and I never feel fresh. I want to feel fresh when I come into a workout session. I'm not a dedicated powerlifter for one. I do other activities and I don't want to be burned out all the time, so I'm not maximizing my lifting just for the sake of lifting. I fit in cardio and sports into that equation. I've done 4x a week workouts and I've done 3x a week workouts, and 3x a week seems to work best for me at the intensity I'm working out in. I'm still getting weekly gains in reps or lbs without failing or stalling for now, so I'm not going to change what's working. If I get to a point where I'm no longer progressing on my lifts, I'll consider changing my program. I'm not going to fix what's not broken though.
And yes, many people use different frequencies and intensities with different results. For various factors, people will have different results from different programs. My body seems to respond best to once a week frequency at very high intensities with back off sets for moderate reps. That's given me the best results.