It really depends on the area. Personally, I think people take the leave no trace concepts to the extreme. The public is broadly taught to walk on, and only on the trails. They see somebody chopping a bit of clearly dead standing wood and they immediately think you are killing a tree. They assume that anything being done out there, outside of walking a groomed path is suspect and harmful.
Unfortunatly, I think a lot of people look at it this way and taken in isolation, they are correct.
One person walking off-trail does not really do much damage and what is done will probably quickly disappear. Likewise
one person gathering wood for a fire does not impact the forest much at all and
one fire ring will quickly be reclaimed by the forest. However, we have to remember that
we are not alone in the wilderness. Where such actions by one person might have no effect, the same actions by hundreds or maybe thousands of hikers leads to forests stripped of deadwood, areas criss-crossed by redundant trails, slopes erroded by heavy foot traffic. etc. etc.
A classic Leave-No-Trace advocate goes into the woods with a Whisperlite stove and burns fuel extracted in a foreign country, loaded on a supertanker, taken to a refinery, packaged and shipped to a camping goods store, and finally burned in a stove.
This is true as far as it goes, but again you need to look at
cumulative impact. A thousand hikers using a few pints of fuel each are not even a blip in the petrochemical supply chain and have little to no influence on the overall impact of the petrochemical industry on the world wide environment. On the other hand, a thousand hikers using woodfires to cook can have a significant impact on the environment of our limited wilderness areas.
Just some ideas to think about. Certainly, there remain areas where human traffic is low enough, and the environment resilient enough, to permit "traditional" bushcraft, but such areas are becoming more limited every generation. Areas with high human traffic (most State and National parks, for example) or with delicate ecosystems (high elevations, deserts and far northern areas with limited growing seasons) need to be approached in as "no-trace" a way as possible.