I never cover my pool--but then I don't have to close it for the winter, either.
The biggest downside to not having a cover that I can see, other than leaves, limbs, etc that might blow in during stormy weather, is the risk of animals/children falling into the cold water and drowning. If that's not an issue for you, then I don't see any harm in not covering it.
When the water starts to warm up, not having the pool covered will allow light in and might contribute to earlier algae growth, but a good shocking after you open the pool will take care of that.
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