Nitrifying bacteria rests in your filters and substrate. Also in the water. If you remove all of the water, there is a chance that it will drastically damage or even kill off this bacteria. Adding completely new water after emptying the tank will force whatever is left from your filters and substrate to re-cycle the new water. Causing the cloudy bacteria bloom, ammonia - nitrite - nitrate fiasco all over again.
Which is why weekly partial water changes are the perfect method of maintaining a healthy equilibrium.
So, basically, the people on the other thread were only right in regard to the most drastic example of a "water-change", meaning a COMPLETE water change, rather than the correct partial water change.
The ammonia-nitrite-nitrate thing you talk about is continuosly going on. It never stops.