If ANY material regardless of ASME/ASTM designation is not listed in ASME Section II, Part D Tables 1A or 1B it cannot be used in a "pressure retaining capacity" under the rules of ASME Boiler and Pressure Vessel code. It is not written, it is implied.
Perhaps I can state it better this way, only materials that are listed in Table 1A and Table 1B in Section II, Part D, Subpart 1 may be used for pressure retaining capacity.
Now, back to your original post - materials that are not listed in Section II but have been approved for use by ASME like ASME SB 148 C95800 can be used in non-pressure retaining applications.