Hammock hanging is widely supported by Leave no Trace as long as it is done properly.As with everything there are good ways and bad ways of hanging.
Just a few :
Use flat wide straps
Don't hang in delicate foliage areas
don't hang from a tree of too small size
Plan ahead for areas with no support for hanging (no trees)
Follow all rules,no exceptions sure they may sound dumb or harsh but next time you encounter this same official you may get to explain why you should be allowed to do this.
Move from place to place after a day to prevent foot paths and trampled fauna .
Above all use common sense and be safe.
If you feel you need to teach hanging is better than tent camping or how you would make it better, please attend a local Leave no Trace class and become a trainer or better a master trainer in your area.
www.lnt.org