A bit of analysis:
If you want to, say double the speed at which the diff disengages/is prevented from locking, you would want to have the same amount of action by the counterweight but at the higher speed. Since the counterweight is generating centripetal force, you could go about it like this:
Fc=(mv^2)/r,
where FC = Centripetal Force,
m = mass of acting part of the counterweight
v = rotational velocity, or just the speed since the units on this cancel anyway
r = radius from center of the diff to the center of mass of the counterweight
Since we want to keep Fc the same, we can set two equations equal to each other:
(m1 v1^2) / r=(m2 v2^2) / r
where m1 = initial counterweight mass
m2 = modified counterweight mass required for diff unlock at desired speed
v1 = initial unlock speed
v2 = desired unlock speed
And solve for the second mass:
m2 = (m1 v1^2) / v2^2
As a quick example, you could look at a an unlock speed of 50mph, or 2x the original unlock speed . Since in this case v2 = 2 x v1, we can substitute it in and solve for m2:
m2 = m1 / 4
So you can see that the amount of mass required to disengage the diff at twice the speed would be 1/4 it's original weight. Now you can't go just hacking off 3/4 of the length of that large counterweight, because the pawl acts as a counterweight. You would need to set up the pawl so the shaft was frictionlessly supported (kind of like when balancing an R/C airplane prop), and have the large counterweight resting on a fairly precise scale. Re-weighing as you go, cut off progressively more of the counterweight until the desired mass is achieved.
Practically, I'm not sure how many of us: A. Do enough of our own work like this and B. Have access to a scale sensitive enough for this requirement?
And also, I know this is all theoretical talk its function in the real world will vary a bit from theory, but I think the ability to weigh the counterweight is key to being able to tune it.
And as for my DD, it has an open diff. My racecar, it will probably have a welded diff because I'm too cheap to get a decent limited-slip, and I don't have the time for all the junk mentioned above