Whenever i let trunk chopped tree in the woods, deer would most likely eat all new shots/leaves that appears. And they do it twice or three times per growing season. These animals focus only on my trees, even though there are hundreds of other trees around. I guess deer just hate bonsai trees
. I've lost several trees in a nearby forest just because of deer. Lesson learned. Now i always trunk chop and collect on a same day or collect one/two days later.
Anyway, if a wood is not too dark, if there are no deer and rabbits around, you can safely cut off some branches. If you cut off too much or you are planning to do a trunk chop be aware that you might weaken some trees that way. It's safer to cut off branches AND slightly trim around roots.