Originally posted by CR 701.10b:Because that rule exists, the interaction may seem a bit different. Also, the examples you cited - Frost Breath / Sudden Storm - try to affect their targets (they don't untap); if Time to Feed resolves, then there's a delayed triggered ability (DTA) created, even if one of the two targets is now illegal. That DTA isn't affecting the target creature in any fashion, it just triggers when (if) that creature dies this turn.
If a creature instructed to fight is no longer on the battlefield or is no longer a creature, no
damage is dealt. If a creature is an illegal target for a resolving spell or ability that instructs it to
fight, no damage is dealt.