The same compensation behaviour can be done in reverse to prevent focus breathing (and yes, that 500$ lens does that, too).
Sadly outside of Sony's 18-105G, 18-110G and 28-135G, most lenses for mirrorless or cinema cameras are designed to be manual and don't even attempt it.
Weird that there are no 3rd party lenses that exploit "software"/"motor" to escape the parfocal optics restrictions while properly exploiting the short backfocal distance of something like Sony E-Mount (vs. e.g. EF-S). With the ultrasonic, very fast AF motors, they can't tell me that an encoder ring for focus pull haptics in lieu of camera-side controls designed for the task would suffer too much input lag. And at the better quality end, the freedom from decoupling zoom and focus should make up for the cost of putting a motor inside, instead of just using an external remote focus pulling clamp. (That said, just adding a focus ring rotation sensor to offset the AF might even be possible to hack onto an existing lens, depending on the AF motor control scheme. A tiny dongle on the side near the base where one doesn't grip seems unintrusive to me.)
If fast (aperture) zoom lenses for sport photography had ultrasonic ring motors for auto focus 10 years ago, at low-to-medium quad-digits for the entire lens, and minimal (AF-included) shutter lag being a major selling point (next to the lack of audible frequency motor noise), there can't be a true technical limitation preventing lenses for "cinema" use from relying on a pair of motors to allow a mechanical/optical coupling between zoom and focus.
I did not mean to use an autofocus on the sensor side; rather just on the actuator side.