In practice a Dickson is not overconstrained. It would take ridiculous levels of manufacturing precision or lottery winning tolerance build up luck to make it so.
When in good order and correctly used they always find a stable “3 something” of contact lines or points. The correct way of fitting the tool carrier is to hold it in position and lock it. Using the locking system to pull it into engagement risks bending the adjuster stud a little. After which it will never work properly until the stud is fixed.
The design is actually very clever because the only requirement is that the male and female Vees are parallel in both axes and sufficiently close in separation to engage with each other. Any spacing error likely with a properly set up finish grinding arrangement is well within sufficiently close tolerance. The thing works so long as you have one line contact on one Vee pair. In practice it normally settle either on one Vee or on two inside or outside faces rather akin the a WW pattern watchmakers lathe bed.
A decade or more ago when I had apparent fit issues with my collection genuine and industrial quality clone toolholders shared between a genuine Dickson T2T and Rapid Original (Italian clone) T2 tool posts I did a bit of bluing and fit examination. A considerable variety of contact lines could easily be seen but no overconstraint.
I eventually tracked the problems down to bent toolholder adjusting studs. Turns out that each maker has their own views on the size of the flange at the bottom of the adjuster bobbin and the slot in the snail shaped part of the locking nut. So not all bobbins will fit the in all tool posts. After replacing all the bent studs and adjusting bobbin bottom flange depth and diameters to fit the Rapid tool post, which has a smaller slot than the Dickson, all works fine. The fit must be absolutely free. It was fairly clear that the bends on most of my collection was due to things being just a bit stiff where slot and flange didn’t mate easily so the operator resorted to a decent heave to ensure seating. Which wasn’t good thing to do.
Dicksons don’t to well when the innards are dirty. Mine seem to be total magnets for really fine swarf. Fortunately the are very easy to clean. Under a minute to pop the locker out wipe and replace.
The difficult bit when making Dickson holders is getting the inside flange face that the locking device pulls on in the correct plane as all tolerances stack up there. All too many of the less expensive imports have the flange too far back so they cannot lock properly. I suspect that real Dickson or industrial quality clone makers have / had cunning way of ensuring the flange position is correct during manufacture. There appear to be some fairly obvious ways of doing this but I know nothing about surface and production grinding and haven’t a clue as to what should actually done. I’ve a darn good idea as to what a not quite good enough way could look like tho’.
That said I imagine that if you reference off both sides of both Vees when grinding teh inner face of the flange it will be very close.
Clive