I think another advantage of a blinking light is that it is passive; it allows for some form of signalling to occur even if you are trying to rest or get some sleep overnight. While the likelihood of searchers is lower at this time, I can't imagine it would hurt to have a blinker running all night just in case.
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Victory awaits him who has everything in order — luck, people call it. Defeat is certain for him who has neglected to take the necessary precautions in time; this is called bad luck. Roald Amundsen