So let's say player A summoned Dark Dust Spirit, then:
Case 2: Player B activates Skill Drain on Dark Dust Spirit so its effect is negated. Then on next turn (player B's turn), Skill Drain was destroyed. Will Dark Dust Spirit stay on the field for all the upcoming turns?
Cannot be Special Summoned. During the End Phase of the turn this card is Normal Summoned or flipped face-up: Return it to the hand. When this card is Normal Summoned or flipped face-up: Destroy all other face-up monsters on the field.
Target 1 face-up monster on the field; until the end of this turn, that target gains 400 ATK, but its effects are negated.
Activate by paying 1000 Life Points. The effects of all face-up monsters on the field are negated while those monsters are face-up on the field (but their effects can still be activated).