I just purchased two 36mm threaded headset tools, thinking both the locknut and the race/nut were 8-sided 36mm. It turns out the locknut was 6-sided. Because of the way the tool is designed to cup an 8-sided nut on 6 sides, it can not be used on the locknut nor can it be used on the race/nut (since it would need to slide onto and over the locknut). Are 6-sided locknuts the standard?

Just to be clear, the tool is similar to this (where it cups the nut). The mouth/opening of the wrench is not wide enough to clear the spacers under the locknut. So, in theory, it seems the tool would have to slide over the locknut, over the spacers, and then onto the race/nut.

EDIT: Actually, I just realized I'm even more confused. The locknut appears to have a flange at it's base, wider than the mating surface for the wrench. So, even if it was eight-sided , the wrench could still not slide down to the race/nut. I'm seriously confused.