I haven't looked at your site yet, but am happy that you are laying out the fundamentals of how a piano it tuned. Not many people understand the value of the 12th root of two!
Nor do they know how to set a tuning pin, without lots of practice.
Perhaps the best thing that can be done is to show/hear the differences between temperments, whether you are tunning according to in favor of third/sixths, giving a bit on the 4ths/5ths or visa/versa; do you tune to the partials of the 8va or the double octave? how stretching makes the 8va roll just a little, but that's what has to be done to get it to sound right to our ears. --It can all get really complicated, fast. But knowing the basics may help.
I hope no one just goes out, gets a tuning hammer and tries to set a temperment. I think, once a musician understands what's going on, then, listen to what is wanted and communicate that to the technician. Piano tuning is an art of balancing out-of-tune so things sound smooth and good, but not so close to perfect, that you can only play in one key.