Are grown objects actually classed as twigs or logs in a certain narrative of elven ethics and grown nature magic? I guess twigs seeds and fruits wouldn't be much more different to livestock laying eggs/shearing livestock, it makes more sense to value the trunk of the tree as the 'body' and hence why elves dont freak out about camp fires etc since even they probably understand the sentiment to keep warm & safe from non-natural presences.
A reasonable suggestion for why we don't have wooden statues is that if they are exposed to the elements & non-treated they'll eventually rot, simulating furniture wear for one object would warrant changing all the rest as a technicality.
The canon seems to be that elven "grown" items do not harm the plant in any way, similar to a fruit that dropped off of its own volition. Now, the fact that it was magically manipulated to form a wooden breastplate, and probably would not have dropped had the elves left it alone, requires a bit of cognitive dissonance.
Reminds me of a quote from
Notting Hill...
Keziah: No thanks, I'm a fruitarian.
Max: I didn't realize that.
William: And, um... what exactly is a fruitarian?
Keziah: We believe that fruits and vegetables have feeling so we think cooking is cruel. We only eat things that have actually fallen off a tree or bush - that are, in fact, dead already.
William: Right. Right. Interesting stuff. So, these carrots...
Keziah: Have been murdered, yes.
William: Murdered? Poor carrots. How beastly!
(Note to vegetarians and fruitarians: anything that's still ripening isn't dead yet.)