Well I don’t know anything about that kind of tree, but if you want to wire the trunk to get some movement in it I say wire on!
Put the wire on first, before starting to bend the trunk. You’ll maybe need some thick wire or a few strands. When you bend the trunk, keep the wire on the outside of the bend to help avoid splitting. Push on the wire to bend it, don’t pull on the tree. Like I said I don’t know about that kind of tree, maybe it’s flexible maybe it’s not.
It’s also possible to bend it some, and bend it a little more later.