Never attempt to zero a firearm with just one shot.
I'm one that believes in shooting at the center of the target and then adjusting the reticle until the POI coincide with POA. Most of us don't get anywhere as much trigger time as we want, so any excuse to send more lead downrange without just making noise is acceptable.
One shot and then adjusting the reticle to the bullet hole; what fun is that? Besides, unless you shoot a minimum of three shots the point of impact is in question due to statistical variation.
You may be missing the point, and may not understand how it works in practice.
For getting an initial round on the paper, with the target 10-25 yards downrange, you're looking for a point of impact that is between 1.5" (10 yards) and 1" (25 yards below the point of impact for most center fire rifle rounds, and a scope height (distance between center of bore and center of scope) in the 2" ball park.
At those ranges, group size should be too small to worry about, unless you are an awful shot, and in that case finding the mid point of the "group" can be flawed if one of the three shots was actually well executed. At those ranges, you should be talking 1 hole groups.
Take one shot, then adjust to the appropriate spot below the point of aim. Then take another shot and see if the point of impact is indeed where it is supposed to be. If not, make the necessary adjustment - which should be pretty small, and fire a third shot to confirm.
Even if the scope adjustments are perfect, if the cold bore or a clean bore shot goes some where other than the rest, it'll be a 3 shot process rather than a 2 shot process.
Then take your target to the 100 yards line and shoot a 3 shot group. Adjust that group as needed to get the point of impact you need for your preferred zero and shoot another 3 shot group to confirm it.
In short, you're looking at between 8 and 9 rounds total to got from initial bore sighting to confirming your zero.
Then if you have a suitably long range you can place a target at your actual long range zero (if it is not 100 yards), or if you are using a 100 yard basic zero and are using a BDC reticle or scope adjustments for longer ranges, you can fire a group at that longer range to confirm you're actually getting the results you expect.
Now we're at 12 rounds minimum, and 15 if you've made an adjustment - and each round in meaningful practice, in stead of just guessing your way to an initial bore sight and zero.