Just got back from the dealer. The only conclusion I can come to is that we are for more anal than the workers at the factory who install these things to begin with. My local dealer has 6 convertibles and 1 coupe. Of those there were 5 128s and 2 135s. 1 of the 7 matched my new template exactly. 3 were within a millimeter or two, and the remaining 3 were off by a lot.
I'm pretty sure that my template matches what BMW intended for badge placement. That said, given the huge variance of badge positioning that I witnessed, it's possible that a "correctly" positioned badge may look funny to someone who is used to their current badge's position. I'm honestly pretty surprised that BMW doesn't use a more permanent version of a template like mine when installing the badges to begin with. You'd think it would save time and decrease variations. Who knows...