if you find a 20-30 years old one, this is already aged and the trunk is formed. Does the tree become a bonsai only after is given a certain branch movement and some deadwood work? Also it seems a bit odd because you've lost those years of seeing the tree slowly getting mature
That's a really strange statement. You have not lost 20-30 years, you have gained them. Also, 20-30 years is nothing. Some are centuries old.
Let me repeat the definition (or one of the definitions) again:
www.nibonsai.co.uk/bonsai-knowledge/yamadori:
"To the Japanese, not every tree dug from the Mountainside is classed as Yamadori. It has to show the battle of growing many years in its form, with its old cracked bark and its trunk twisted by the elements. Such trees are not easy found and the title, Yamadori, is not given lightly"
So no, not any tree collected from the wild is a yamadori.
That's what i didn't get you know, like what makes a tree a bonsai. Guess is the shape of a natural tree while having a nice movement and ramification
That too is not quite right - it is not only movement and ramification, there's more to it.
Here's a start:
en.wikipedia.org/wiki/Bonsai_aesthetics