With pallet wood, which is much thinner, I would think corner reinforcement would be necessary. With 1x6 and the slats on the bottom serving as corner bracing, you don't need anything else at the corners.
I think that if want an entire mesh bottom the corners might be a plus.
Also,
@markyscott has a post/maybe a thread somewhere on here about using adhesive fiberglass mesh tape (sold for drywall repairs) to bridge the gaps between the boards on the bottom and this would also provide adequate drainage.