This is from “MacElrevey’s Shiphandling for the Mariner” which is the reference I’ve always used.
"Perhaps the most fundamental misunderstanding about shiphandling with an anchor is the belief the a ship sheers in the direction of the anchor that is put down. This is not so.
The hawsepipe is too close to the center line for which anchor is used to make a difference. What’s being done with the engine and rudder is what matters.