Tom, yes I am of the mind, having done extensive work in nearly all types of furniture, cabinet, and instrument construction that "puzzling" (what I call 4-way lamination, or spiral lamination) is crucial along with the ability to select properly dried wood and a process for controlling "heave-ho" due to vagaries in temp and humidity.
Even in furniture that is carefully constructed to the finest tolerances will vary over time. Granted changes of 1/64 to 1/32 inch in thickness or diameter or changes in DENSITY may not come into issue in furniture or even cabinetry, a platter is a different matter.
Now, I am not by any means claiming, or even inferring, that Teres has not accounted for all of these issues, just that it concerns me. I would REALLY like to visit their shop.