My understanding is that being attacked by a creature with Annihilator N, which would force me to choose and sacrifice N permanents while have a Sacred Ground on the battlefield means that if I sacrificed lands on resolution those lands would come back onto the battlefield since an opponent controlled the Annihilator ability. (Possibly even providing me with a benefit, due to ETB effects or sacrificing tapped Basic lands to get them back untapped.)
However, I understand that any intervening ability or effects including state based effects would interfere with the Sacred Ground's ability. For instance a Stalking Stones that's turned itself into an Artifact Creature should come back from an opponent's Shatter, but not a Lightning Bolt since the state based action of having enough damage to kill it puts it in the graveyard, not the Lightning Bolt itself.
Are there any intervening effects involved in making a choice of sacrifices, or other effects I've missed, that prevent Sacred Ground from bringing back a land sacrificed to an opponent's creature's Annihilator ability? Or are there any issues in my interpretation of the abilities in question?
If I gave the opponent's creature the Annihilator ability through Eldrazi Conscription (or copy effects or other contrivance...) does anything change? (Not that I plan to do anything of the sort, just to be comprehensive in my understanding.)