total non-arborist here (--for the knots!),
but I, too, wonder about all the lean in one direction.
Someone remarked about less stress given loss of a
half, but I'm thinking "less counterweight/balance".
Looks as though after the initial bending rightwards
of the tree & vertical limbs there is later a major
vertical limb :: is this vying to become the tree's
main spar? --what your last photo is focusing on.
(Locally, I braced a young sycamore with a serious,
near-90deg bend of main spar, and over time it stopped
*feeding* that piece and a vertical former "branch" fattened
up to become the new main
--really striking difference, hard to believe, 5? years later!!)
.:. So, would it be best to chop that sizable vertical branch,
hoping to re-direct main-spar feeding to the initial upwards
branches, and taking a load off the leveraged out-reaching
limb (noting that there are a few other branches as this
"outreaching" point either side & below what I'm thinking
might make sense to chop.
*kN*