Would a conventional explosive detonated in an atmosphere with less pressure than Earth's be less damaging?

When a grenade explodes in water, the shockwave does more damage to a human than when the same grenade explodes in air. I am aware that the incompressibility of water as compared to air plays a large role in this. However, there's also definitely a pressure difference between the two substances. Based on that premise, I think the same explosive would be even less effective in air that has less pressure than Earth's. Would this be the case?

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Would a conventional explosive detonated in an atmosphere with less pressure than Earth's be less damaging?

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