It’s fairly simple geometry. 11, 12, 13mm tips don’t change enough surface area to make any impact on the precision of a hit.
The accuracy part is on you.
Pretty much all tip sizes will have the same precision potential, but not all players will have the same accuracy (specifically using different terms on purpose as they define different things).
Anyone who “thinks in inches”, here’s a comparison:
13mm: 0.51”
12mm: 0.47”
11mm: 0.43”
The difference in 13 and 11 is 0.08”
Going from 13mm all the way down to 11mm is only a 14% difference.
For someone with a not great stroke or accuracy in their impact, an at *MOST* 14% difference will not be noticeable.