Body weight (BW) exercises like push-ups and pull-ups are still moving heavy weights. At least in my case. It may not be as hardcore as serious barbell training, but it's substantial.
Indeed. I was speaking more to the possible perception that barbell training and body weight training were two different things completely. They are both resistance/weight training, and are alike in more ways than different. You are pushing/pulling with resistance, at a given angle, and that builds certain muscles and burns calories.
I think people get silly about it. Traditional dick waving stuff.
I'm a barbell partisan, but I have a few bodyweight-ish things sprinkled here and there. Pushups are an excellent assistance exercise for the overhead press and for the snatch/jerk lockout positions. Pullups or chinups are fun and develop the latismuss dorsi, a key muscle for the snatch and clean.