Good question. After several tries I found now out how:
I start from this file: depicted here:
1. delete Constraint 3 (equality between first and third control point)
The shape of the spline is of course still the same, but the displayed distance between the knots changed:
2. increase now the radius of the third control point.
Now the shape changed correctly:
3. select the circle of the first and third point and apply an equality constraint
Now the shape has not uniform weights, despite all radii are equal:
I think there are 2 bugs:
A: the distance between knots is incorrectly displayed after step 1
B. the weight is not reset whiley applying the equality constraint for the radiuses in step 3