Hmm, i disagree to a certain extent.I did 5 proper pushups after
training with some barbell work.That time i was some scrawny little
14 yr old kid.
But i prefer the best of both worlds. 
I didnt realise how difficult bodyweight chin-ups are until i
really intensively do them.Do you know that after many sets you can
get failure at 3 reps for bodyweight only? 