Don't do that. It won't ever look natural in your lifetime, and the embedded wire can eventually kill parts or the whole tree. You can see wire damage on the JBP stock in the OP. The wire may or not still be there, but the damage is done.
Definitely wire the trunk for movement early, but don't let it dig in, and don't leave it on. To the OP, the wire on the branches pictured of your tree isn't too embedded at all; it will heal, and since it's a pine, it should always have some foliage to conceal it as needed. I left wire on
this JWP for 3 years, no problem.