Sure they do. Measure the 3 angles. Now, lengthen or shorten the strut rod tube. What are the angles now? They've changed. Not an issue IF there was a pivot at the strut rod/LCA intersection like the slotted holes in our strut rod plate but there isn't. This will cause bind.
There's a few factors in play here.
First, using the "triangle example", you have to use the following points to establish the triangle...
-a. The lower ball joint.
-b. The OUTER race of the control arm spherical bearing.
-c. The OUTER race of the strut rod spherical bearing.
The angles formed at "b" and "c" ONLY change when the strut rod is moved to adjust caster. In use its length is fixed and the angles remain static.
During compression and extension of the suspension, as the lower control arm swings up and down, the above triangle is static. The angles don't change. What DOES change is the angle of offset between the inner and outer races of the spherical bearings.
Since the leg formed by the strut rod to ball joint is considerably longer than the leg formed by the control arm mount to ball joint, the movement at the strut rod mount is much less than at the control arm mount.
As the control arm moves up or down from a neutral position, and since the strut rod leg length is fixed, the control arm, at the ball joint, is pulled forward and the spherical bearing at the control arm frame mount twists clockwise (down) and counter-clockwise (up). Because the forward leg, the strut rod, is mounted at a different angle than the control arm, the spherical bearing primarily rotates, but there is a slight twist as well, since this leg is longer than the other.
If there was a rod end at the point where the strut rod mounts to the control arm there would be no need for one at the strut rod frame mount, a simple clevis would be all that is needed.
What's the difference, and why do I like Tracy's solution better?
If the rod end was placed at the strut rod to control arm joint, rotational force (torque) placed on the spindle by the wheel, tire and brake assembly must primarily be handled by the upper control arm mounting point as there is more freedom for the control arm to move downward at the strut rod rod end and twist at the control arm frame mount rod end. Replacing THIS joint with a bushing would help, but now there would be binding when adjusting the length of the strut rod and as the strut rod to control arm joint swings through an invisible arc.
With the spherical bearing placed at the frame mount of the strut rod, the strut rod, itself, becomes a solid portion of the control arm assembly and the torsion force place on the spindle is spread all the way down the strut rod to the frame mount as well as by the upper control arm.