Re: “How important to accuracy is optically centering scope?”
As with all optical assemblies with multiple elements (lenses, air gaps and coated surfaces), the optimal arrangement for least distortion, aberrations and internal reflections has all elements on a single common optical axis. However, the basis of an internally adjusted scope is to purposely tilt parts of the internal optical path to adjust the windage and elevation to align the effective axis so that the POA and POI coincide.
The farther off the common optical axis, the more issues are created. As has been noted, if the windage adjustment to “zero” is a lot, that will restrict the available elevation adjustment (the converse is also true – large elevation offsets limit available windage adjustment). For almost all typical scope designs, the actual correction (1/4 or 1/8 minute) per click is only true very close to the optical axis and is a non-linear function of deviation from the optical axis.
However, let us not forget that the key to accuracy is that the POA and POI coincide. Therefore, unless we have adjustable mounts, multiple offset ring inserts (like Burris Signature Rings), shims or other means of external adjustment to align the scope to the rifle, we are forced to use at least some of the internal adjustment range to align or “zero” the scope to the rifle. As a consequence the typical scope will not have its internal adjustments centered when “zeroed”.
For those fortunate or foresighted enough to have external means to adjust the “zero” of the scope to the rifle and use the internal adjustments only for small field condition corrections, it is very important that the internal adjustments are centered before “zeroing” via external means. There are at least three methods to accomplish the centering of the internal adjustments:
1. Basic – Gently run the adjustment to one end of its range, count the clicks required to get to the other end of the range then back up half that number (repeat for the other adjustment). The principal advantage is that no other equipment is required but it is very difficult to do precisely particularly with scopes with large adjustment ranges and fine clicks.
2. Mirror – Place a mirror (first surface mirror preferred) on the objective housing. View through the eyepiece will show the actual reticule and its reflection. Adjust both turrets until the actual cross hair covers its reflection. This method is very precise but does require either a bright outdoor setting or sufficient room light to be able to see the reticule reflection.
3. V blocks – Place the scope on V blocks pointed at a white or gray card. While viewing through the eyepiece, rotate the scope. The junction of the crosshairs will orbit around the central axis. Adjust both turrets until the junction is on center and doesn’t move as the scope is rotated. Somewhat tedious but very precise and simple.