This is hard to determine, primarily because it's entirely possible that we do not wake up during all lucid dreams and thus do not remember having had them. It's therefore impossible for the layman to determine whether they're especially tired from the lucid dream, or just tired from having been woken during REM. As far as I'm aware there's not been developed a hard and fast way to test this.
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Vita brevis,
Occasio praeceps |