Agreed Dave,
Funny how we screw stuff into indoor wood all the time but somehow balk at outdoor stuff that can actually repair itself.
Anything wrapped around the bark is going to do more damage (and look naff) than something screwed in to the heartwood. I have a small cherry tree in the garden that was beginning to split down the middle from the Y shape it had grown into. I put stainless 12mm rod through each limb and bolted a board across the two to hold the tree together and make a platform to pick the cherries from, at the same time. The natural resin soon fills the holes, and, as the tree grows, the nuts will disappear inside the tree.
In this case the council will have to be asked for planning permission, whatever the OP wants though.
S