I think third party graders are going to look at a coin by eye and determine if it exceeds MS65 and then maybe 3x-7x magnification from there.
"MS-67 Coin has a sharp strike with full, original luster, May have three or four very small contact marks and a single, more noticeable, but not detracting mark. On comparable coins, one or two small single hairlines may show under (6x+) magnification, or one or two partially hidden scuff marks or flaws may be present. Eye appeal is exceptional. Copper coins have lustrous original color."
I think the ANACS grade is fair, probably high if it were graded by PCGS or NGC because they are much harsher and stingy with the 67s LOL, but fair according to the accepted description of what MS67 is, this magnification level is higher than a grader would use to grade with for sure. maybe the full coin pictures would be about what level is used.
I will post up a bit later after I go though my finds and segregate out the best example to compare to yours. Not so sure that what I have posted before is for certain my best, I rushed the selection process last time.