OP: your knowledge is correct, but your understanding of table A5.1 is wrong. table A5.1 specifies the scale (A or C) to choose when using DIAMOND indenter.
For example, when thickness is .030, your material needs to be 57RC or above to use diamond indenter and scale C. If hardness is less than 57RC, you should use a different scale and/or a different indenter, WC ball, say scale A, diamond. It does not say, if hardness is higher than 57RC, the thickness must be less than .030''.
The same is true: AidanMC's explanation makes sense, but seems irrelevant.