But
@thistlebloom isn't it true that many plants (trees included) actually sprout new branches after pruning?
Yes that's true, but they aren't all equal, and different species have different responses to pruning. I was referencing removing large branches mostly. Apple trees are vigorous growers and need annual pruning to open the canopy for better photosynthesis, as one example. Other fruit trees have different responses to pruning.
The problem with cutting major branches from any tree, is the large wound it exposes, and that leaves the tree vulnerable to pests and disease entering the wound. The bigger the cut, the longer it will take the tree to compartmentalize and seal that wound off. Wound dressings have been found to retard that process or even seal in moisture that leads to rot, so are currently frowned on by good arborists.
Moderation is the key, and going slowly and thoughtfully. You can't put back what you take off.
Young trees are the best candidates for structural pruning, when you are developing their frame, but obviously it is sometimes necessary to take large limbs from mature trees. Then you do it correctly and do your best to keep the tree healthy.
Nyboy, that's a good example of different species and how they respond to pruning.
I have smoke trees (Cotinus coggygria) that I keep as shrubs.
They respond beautifully to pruning and you can pollard or coppice them annually and they come back with vigor. Some other shrubs can be rejuvenated by coppicing also, it's a matter of knowing what you have and how it grows to keep pruning beneficial and not damaging.
I see Ridge has responded while I've been typing, so what he says also.
Journey gave you good advice too.