@rightway16 It can but to be fair going from barbell bench to all dumbell presses, when you go back to barbell you will be weaker. Bench press is a lot more tempermental of a lift then lower body and back exercises.
But when we loose certain lifts we won't improve that lift by progressing in strength in another.
TLDR so what's my nitpicky point
You are correct bodyweight exercises can improve lifts, but its hit and miss. And it's the nature of specific strength. Not anything a person can do wrong.
But I really liked this, it's really interesting bottom line. Some bodyweight exercises are very hard and will give large body parts a very strong work out so of course you got stronger you worked your ass off