I think that running through yields more engrams faster. You're guaranteed them at the end and not so from the others. Also, most have adds at the end you have to kill. By running you can complete more strikes thereby earning more rep and guaranteed engrams.
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maybe friend. but ever since i equipped the emblem "blessing of the gifted" I'm seeing way more blue engrams drop in strikes so thats why I'm killing every single mob i see. idk why, but the emblem holds up to its name