I've actually had the governor problem on two different A4LD transmissions. What he is describing is EXACTLY what happens.
That, and always make the easiest fix first, then move up to more difficult issues. On transmissions that means (1) fluid level (2) fluid condition (3) filter (and while the pan is dropped, check for metal/clutch material in the pan -- it will be there if larger problems exist) (4) vacuum modulator and line to engine (5) governor (6) valve body issues (7) torque converter (8) broken hard parts inside the transmission requiring a complete rebuild.
Only at stage 7 does the entire transmission need to be removed from the vehicle, and at stage 8 does it need to be opened up for rebuild.
The governor is SUCH an easy fix that I would do it no matter what, then move on from there.
