Dear Nandric,
I agree with Jonathan (who am I to disagree with such an expert!?).
The way I read the SAEC engineer statement emphasizes what is being discussed in the thread. Changing one of the three "dimensions" changes the other two for a given geometry. If the STP increases, so does the effective length, the cartridge offset angle shallows. Each geometry has a different ratio, but the same principles apply.
If one of the dimensions change without changing the other two, then the geometry is different.
Take a glance at this table to see how the dimensions are interrelated. This table is for a single geometry / location of null points. Other geometries will have different ratios.
http://www.audioasylum.com/audio/vinyl/messages/77287.html
BTW, the dimensions illustrated in this table vary a little from the ones provided my Micro Seiki for the MA-505 standard length arm (237mm, 222mm, 21 degrees 50 minutes) which uses a different geometry.
HTH,
Bill