Assuming it's being pulled sensibly on the tree, then the left is stiff and it's pulling down, the right being weaker is bending upwards.
Like a seesaw (or teeter-totter as you chaps over the water quaintly call it
)
I'd leave the right alone until it is more evenly balanced. taking anything off the right anywhere will just make the imbalance worse and the right will bend even more disguising any good work you may be doing.
When in doubt leave it alone... and I doubt the right is in need of work yet.
Del