I agree with what's said. You do not want to risk any tree damage. If not because you want not to hurt the tree, but also since if people see hammocks doing tree damage then steps will be taken not to allow hammocks in that area. No sense in ruining it for everyone.
I have used 1" webbing on the trees in my back yard. I probibly spent 15 nights and hung about 50+ other times out there. It is a hard bark tree. I can not see any damage on the dark with one wrap. On soft bark trees I have seen the dark compressed with one wrap over one night.
This is why on the webbing I use I leave enough length to wrap around the tree 2 or 3 times. It adds a couple oz to my setup, but it is worth it to LNT.
I am not saying you want to hurt the tree. I just want it said here for others to read too.
Is that too much to ask? Girls with frikkin' lasers on their heads?
The hanger formly known as "hammock engineer".