Yes and no. Atmosphere is destroyed by battle even with equiped monster. Relinquish is not and your opponent takes the same amount of damage you did. Atmosphere is probably easier to summon and harder to 🔥 with Skull lair. Also Atmoshpere must target face up monster, Relinqish can target any.
To be fair 90% of the time, you wouldn't want to target a face down card with the atmosphere. The only reason this is good with Relinquish is because of its other two effects.