In the second picture is that a fungal bracket about halfway up the left branch?
There are several things going on in that picture. The large wound from a branch removal below both of them, staining coming from that one and below the union in question, leads to ????. And a partially callused cut on the left branch! And included bark and a weak union!
I'd probe the decay to see how extensive it is below those branches, check the target area underneath (sidewalk is pretty close)
At the least I'd reduce the end weight on both of them, and monitor for changes, at worst I'd cut the whole damn thing off!!! How would that affect the balance and appearance of the tree?
As an aside:
I just took down a huge poinciana last week, I was absolutely amazed at the compartmentalization that had taken place given their propensity to rot.
The tree was prob 30' with a huge spread, it had been badly topped about 10-15 years ago and had massive knuckles where it regrew. When I cut below the knuckles the wood was clean, no rot or very, very little!! Also there was an old cut with a classic teardown on one side, it had callused on the edges and rotted in the middle. I cut it off to get to the main diameter of the trunk, take a look at the before and after pic, a classic example of branch cone rot compartmentalized from the trunk tissue.
Sorry, got to go, I'll post pictures later.
