Are Awoken lands actually instantly-dead 0/0's?
The Awoken land is 0/0 but the +1/+1 counters will give it a toughness greater than 0 so it won't die.


  704.4. Unlike triggered abilities, state-based actions pay no attention to what happens during the resolution of a spell or ability.
  
  704.5f If a creature has toughness 0 or less, it’s put into its owner’s graveyard. Regeneration can’t replace this event.


However these cards are worded in such a way that even if 704.4 wasn't true the land creature would still survive because the counters are added to the card before it becomes a creature.