The reason they are mentioning immolation is because if he had stomp/wave/thorn there might be a legitimate reason to switch targets to kill faster. As it's immolation there is no benefit to doing so when hawks are two shot and the spell does not affect them.
If there is no hermit alive and he is not dancing with the king or letting him turn around while switching targets it is impossible to kill slower than with autofocus. Hence I can safely assume that he is actually killing faster than auto.
Maybe don't assume then, and watch the replay instead. Where he did turn around several times.
switching targets does actually kill faster if you skip parts of the animation.
Also, this simply isn't true as per broud3r. It is impossible to kill faster by changing targets so there is no benefit to doing so. You can cut parts of the switching target animation yes but it's never faster than just attacking the same target.
This is a nonsense argument and he knows full well what he was doing. He controlled the king properly, attacking adjacent targets and killing them one at a time until it was clear that there was no risk of taking another heal. Then he started switching targets, spinning around and making the reason for doing so obvious.
The case he mentioned, the replay has already expired. But you can clearly see in the comments the case is in a different context involving a delay of about a second from switching one target.
There will be no complaints accepted for this considering your case has been reviewed by 3 moderators and is frankly incredibly straight forward.
Do not change the king's target to delay killing, except to efficiently kill multiple targets or kill higher priority targets such as sent units or low hp units. Range stomping and backward waving is allowed.
Denied