Each of those abilities checks Figure of Destiny's creature types when that ability resolves
For example, if you cast Kytheon, Hero of Akros, you still need to wait a turn to attack
For example, if Blitz Automaton is exiled with the last ability of Chandra, Dressed to Kill, you would be able to cast it for (because it's a red spell), even though you wouldn't be able to cast it as a colorless spell for its normal cost
Best MTG cards Swords to Plowshares (Alpha) Eternal Witness (Fifth Dawn) Mana Crypt (HarperPrism Book Promos) Teferis Protection (Commander 17) Mana Drain (Legends) Cyclonic Rift (Return to Ravnica) Paradox Engine (Aether Revolt) Crucible of Worlds (Tenth Edition) Heroic Intervention (Aether Revolt) Itd be easy to simply pick cards like the Black Lotus and call it a day, but we think thats a bit dull
The tacked on life loss is icing on the cake
If they do, you draw a card