Yes, you want it to breath. Imagine sleeping in foil.

There is a technique to making a hammock. Regular gathered end hammocks are difficult for the novice to hang properly to get a flat lay. Recommend buying a style that jas a ridgeline, is shaped to make it easy to lay on a diagonal, and has some strap/whoopie sling suspension. Nuances matter.
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"In the beginner's mind there are many possibilities. In the expert's mind there are few." Shunryu Suzuki

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