nantong,
That's the way I understood it.
If it is post fabrication welded then section IX dictates.
If it is material as received prior to fabrication and welding then it becomes cost prohibitive and an engineering decision.
I mean, if you qualify a WPS with hot rolled SA-36 and you insist on like heat treat conditions then you can't weld on carbon steel materials such as SA-516 or SA-333 Gr 6 which often, or normally, come in other heat treat conditions such as normalized.
The Codes purposely stay away from this type of requirement for non CVN regimes.
I'm not saying this is not a good idea but one needs to understand what is going to be the result before making such a decision.
Plus, there is a logic to it. If you weld hot rolled SA-36 what essentially do you end up with in the HAZ. Unless you really run it hot it will be a normalized, or quenched, microstructure, of little concern since SA-36 is not air hardening. If you weld SA-516 what do you end up with in the HAZ? Pretty much the same. Since all heat treat conditions will meet or exceed the SMTS, and the PQR will judge the HAZ, it makes little difference. However, for CVN's the rules change, as do most of the Codes.