Don't forget the 'initial boresight'.
I have a 1911 fanatic friend who wanted help sighting his .308 in. Never been fired before. I showed him what 'boresighting' actually meant, and got him set on his way.
Another friend of mine wanted help sighting in a Saiga .308. Which was fine and dandy until the scope mount came loose because he hadn't used any loctite. (Literally falling off the gun).
I agree on the 'one shot' method, for getting about 95% of the work done. But I only use that under perfect conditions. The only way that you can be sure that the gun did not move is for it to be in a bench mounted vise. I cannot think of a centerfire caliber that will not move any commercial rifle rest that I have seen at least a little. If you felt ANY recoil at all, then odds are pretty good the gun moved at least a little. Fractions of an inch. But enough to make that 'one shot' less perfect.
And, as said before, you are at best, within 1/2 MOA of your rifle, but with no idea what the groups look like. Five shots later might be showing a 10" group at 100 yards.
But, back to method. That's how I do all of my sight adjustments, for what that is worth. Scope target, fire. Steady rifle back on initial POA and adjust to POI. Repeat until I start to think I'm the one missing the mark, not the rifle. And, one must remember to let the barrel cool down for a light barrel. On a heavy barrel, you might not be warmed up at all after 20 shots.
At some point, you are also going to want to see where quick follow up shots are going to lead. Some thinner barreled rifles can move poi with what I consider to be a relatively small number of shots.
YMMV.