Who sends PWS Restart Indication in F1AP?

The gNB-DU sends it to the gNB-CU over F1-C.

Does it have a dedicated response?

No. It is a Class 2 notification procedure, even though Transaction ID is mandatory.

Can the restart-cell list be omitted to mean all DU cells?

No. The list is mandatory and must contain at least one NR CGI item.

Does this prove warning broadcasts have resumed?

No. Verify any required reload procedure and actual DU broadcast state separately.