Might be worth thinking about it like this.
1. Chop and drop perennials where they are. It's their nature to grow in the same place every year, so it may be worthwhile for them to mulch their own space. Seems like that the way nature has it set up.
2. Chop annuals and drop them elsewhere ( near unrelated species) if you're concerned that the current crop might be harmed by the breakdown of the chopped stuff. ie Cutting squash leaves with powdery mildew and leaving them in the pumpkin patch will help spread the mildew to unaffected plants. Leaving squash leaves under the
trees might not be such a bad idea though.
3. If you are chopping annuals in the fall at the end of harvest, drop them where they are and plant an unrelated species there next year. This is basic crop rotation and there are lots of different schemes to doing it. I think it's easier to plant unrelated seeds than to move plant debris all over the place.
4. Anything that doesn't show any sign of disease or deficiency is probably fine to leave wherever it is growing.
5. If you have animals, give everything to them. They'll take care of most anything and turn it into High Quality fertilizer.