The standard performance tests for initial qualification are as per the figures in D1.1, but the employer can require/impose additional performance tests. The thickness limitations of table 4.11 apply when "nonstandard" thicknesses are used.
If the welder utilized a nonstandard thickness for the purpose of qualifying a WPS, the constraints of table 4.11 would be applicable as far as the extents of the welder's qualifications are concerned.
I do not see any provisions for utilizing a nonstandard coupon thickness for the initial welder qualification while reviewing the applicable figures. However, in figures 4.27, 4.28, and 4.29 (tubulars) the thicknesses are listed as minimums. The same is not true for plate tests depicted in figures 4.30, 4.31, or 4.32.
I would not loose any sleep if the employer opted to utilize "job thickness" plate for the qualification test provided the constraints of table 4.11 were observed and the groove details, i.e., groove angle and root opening, are maintained. As a condition for accepting nonstandard thicknesses, I would expect the bend radii used for the guided bend test to be adjusted for thicknesses less than 3/8 inch.
Best regards - Al