Saddle height measured the same way by both fitters? There is more than one way to measure it. It would help if you posted actual stack and reach numbers. FWIW, I'm 2cm shorter with 83cm cycling inseam and use a saddle height into the 72-73cm range, but with 60-65mm of saddle tip setback. I use 10cm of saddle to bar drop and a 100-110mm stem, so I have more reach, despite being shorter.
Changing saddle to bar drop can be done with stem angle and/or spacers. Changing from a -6 to -17 stem will drop the bars by about 20mm.
My latest frames have a stack of only 505mm, but have integrated bars with only a -7 degree angle, so spacers are used to change bar height and new bars are needed if the stem length is off. My total stack is 505mm, plus 20mm of headset top cover and one 10mm spacer. With a -17 stem on other frames, I use 540mm of total stack.