This is confusing. I have only ever considered Reinforcing Pads as the the pads placed around nozzles. For this thread the pads in question seem to actually be support pads or doubler pads or stress spreading out pads.
For America:
The ASME AI is interested in the design and fabrication of pressure envelope and any components welded directly to it such as a support pad. With respect to fabrication, this is where the ASME AI's accountability ends.
The AI is interested in the local stresses in the pressure shell that are the result of loading on the supports or brackets attached to the support pad, however the AI is not interested in assessing the design of the support itself or inspecting anything to do with the attachment of the support to the support pad. You could attach supports or brackets to the support pad using bubble gum and the AI wouldn't care.
End Note 3 specifies the termination point of the vessel is the surface of the support pad and “Nonmandatory” Appendix G "suggests" good practice regarding design of supports and attachments. There are no compulsory requirements.
The support would ideally be designed by a structural engineer but the immediate support bracket is often designed by a vessels engineer. The design and fabrication of the support bracket including the pad attachment weld should be inspected by a 3rd party structural inspector.
For Europe:
In order for the vessel to be CE marked, the design of the whole assembly of vessel and supports is assessed in accordance with PED by a 3rd party organisation that has both vessel and structural design appraisers. Similarly another organisation will have fabrication inspectors that are certified to inspect both vessel and structural fabrication.
I suspect when your AI is saying "NO", maybe he actually means "I don't care, it is nothing to do with me, but just in case I'll cover my back side by saying NO".