Overall, there are various
technical flaws in this process. However:
This is the important part. We could go back and forth, hashing out explanations for why the averaging described doesn't make
technical sense (though I understand why you're approaching it that way), or the use of tones versus broadband sound to set levels, or... In other words, be nitpicky.
I don't think that's necessary and, ultimately, it matters very little since you are obviously satisfied with the end result.