David,
0.003" tilt is enough to give you some spread if the bullet doesn't tend to straighten in the bore. In general, the further forward the center of gravity of the bullet is from the center of the bearing surface, the more spread you get from a given degree of tilt. If you load any more of these bullets up, try picking out some with that same 0.003" of runout, but mark the high side location on the case head with a Sharpie. When you go to the range, take half the rounds and shoot them all with the index mark at the same location in the chamber (12:00, 6:00, or whatever is easy to see; just be consistent). That causes the drift due to tilt to all be in the same direction, tightening the group, sometimes considerably. Then shoot a second target indexing the location of the tilt around the clock for the half of the 0.003" runout loads. If that group opens up considerably over the consistently indexed group, then tilt in your bore is the issue.
Self-straightening in the throat is what adjusting seating depth seems to improve. Since you have no wiggle room for adjusting seating depth with the short bearing surface these have, you are pretty much stuck with what you get.
The 175 grain bullet has a 7 caliber tangent ogive. This matches the one on the old M1 Type FMJ used in M72 National Match ammo and M118. With the very consistent Sierra bullet, it can be made to imitate those match loads, but do it with better precision. It's a great bullet. In general, tangent ogives self-center much better than secant ogives do. It's the reason Berger developed its hybrid ogive that starts out tangent, then becomes secant only after it is narrower than the land diameter.
There is a good bullet stability estimator at the free JBM online ballistics site.
It is here. It gives you an answer in gyroscopic stability factor, a number for which a value of 1.000 is on the line between stable and unstable, and for which Sierra recommends 1.3 to 3.0 as best for good hunting accuracy and 1.4 to 1.7 as best for match accuracy. Geoffry Kolbe has
a different calculator based on McGyro, a program the late Robert McCoy developed. Kolbe's version gives you a plot of what twist rates gives you a gyroscopic stability factor of 1.5 at different muzzle velocities, and, if you enter a twist (optional in the calculator) it also gives you a plot of gyroscopic stability factor vs velocity for your twist. The Kolbe calculator requires more complete bullet shape information than the JBM estimator, so it the Kolbe calculator is more exact. For the 175, from Litz, the data required by the Kolbe calculator is:
length 1.240"
ogive length 0.710"
meplat diameter 0.067"
boattail angle 9.1°
bottail length 0.165"
The Kolbe calculator's graph shows that at 2500-2600 fps, a 12.6" to 12.7" twist produces a stability factor of 1.5, while a 12" twist (lower graph when you enter a twist argument) produces a stability factor of about 1.68.
For the 175 grain Matching, under standard atmospheric conditions, the JBM calculator estimates a 2600 fps muzzle velocity stability factor of 1.667 for a 12" twist. That's pretty close to Kolbe's plot result. At 2500 fps its just slightly lower at 1.645. Even a 13" twist stays a little above 1.4 in that velocity range, and would be expected to work very well with this bullet. So, if 1.5 is ideal, then the first calculator says a 12.61" twist puts that number in the middle of that muzzle velocity range, while the second looks more like a 12.65" twist is ideal. Pretty darn good agreement.