Fulmin,
I flew for airlines which had different sops regarding this issue,some always wanted you to keep the Engin HYdr A pump ON,(unless pins were not installled) and some always wanted them OFF.
Please explain where such difference would come from then,since you seem to have such a big mouth for an 18 month F/O...

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When your shade of green turns lighter,get back to us,same goes to you B737 SFP.