NEUPILOT,
I vote for your answer.
I believe on 737s, a compressor shall not call for a relight.
Engine stall recall items are to disengage the A/T and reduce the thrust until the engine is stall free.If the thrust lever is retarded to the closed position then the recall items are to follow the engine fire severe damage or separation
and therefore shutting down the engine.
I would opt for a relight in case of an engine failure due to heavy water ingestion or icing.