EyeBuyDirect and FramesDirect (both owned by Essilor) will remake your glasses with correct pupil/fitting height. Order the first pair, adjust them for correct fit, including pantoscopic tilt, then measure the vertical position of pupil. Make any compensation needed for tilt, then return the frame for a free remake with the new value.
When you order the same frame again, you can specify your custom fitting height.
There is broad variability in competence of individual opticians, whether independent or at a chain store. If you have access to a competent local optician in your city, wonderful. If you don't, there's no reason to pay 10X prices for worse service than you can obtain yourself with a few minutes of measurements. Unlike an optician who needs to fit a wide variety of customer faces, you only need to fit a single face, which is a one-time learning exercise.
We meet again, Mr. Bell. I think you might have missed the last bunch of replies I gave you, you might wish to check!
There's one other thing those online vendors can't give you:
Wavefront aberrometer guided glasses. Unfortunately the industry sits at a shitty place here. Nearly all doctors don't buy those. And even if they do, their measurements aren't portable to the vendor systems. So instead, opticians have those. But opticians can't use cycloplegia, which you do need to get a proper wavefront measurement - and even if you can arrange that (say, by hurrying to your optician very quickly after a doctors visit), you'll run into the problem that most opticians don't configure those devices correctly, leaving them at the vendor default of 3 measurement cycles (instead of the 5 it takes to get statistically useful results), don't check for ring defects on the scan, and so on. It's a mess.
When you order the same frame again, you can specify your custom fitting height.