An important thing to remember with the pallets is that they are located on a large circle, their curved shape falls on that arc of the circle. So for example, if your anchor pin is not in the vertical position as the escape wheel just begins to slide down the impulse face of the pallet, visualize how you can lower one pallet and raise the other pallet the exact same amount, the pin will end up in a new position but the action at the pallets will be the same. So that's one consideration to repositioning the anchor pin.
As for other changes to the pallets, you need to visualize what is happening as the escapement works. If for example, one tooth lands on the impulse face, that might happen because the opposite pallet is not exposed enough, thus letting the tooth drop too early. As I recall, that's the general idea that the repair guide puts out...the action at one pallet could be due to the position of the opposite pallet.
Kurt