This would imply placing the actual amount of gas used in IsAuthorized and Refine alongside the WorkOutputs in each WorkReport.

Additionally, the number of segments imported, as well as extrinsic count and total size could be helpful.

There would be an additional portion of state, perhaps combined into $\pi$, which would record the Refine gas usage per-core and per-service asserting it to be used at the time of reporting and the Accumulate gas usage per-core and per-service asserting it to be used at the time of accumulation.

This may help diagnostic services since they won't otherwise be easily able to get at this information.