Effects like Smothering Tithe will trigger in the first case (when the card literally says draw), but not in the latter, even when the text may instruct you to put cards in your hand from the top of your library
A 3/2 flash lifelink creature would already be playable in a control deck looking to stabilize, but this one comes with Swords to Plowshares attached
But, Jace is still the best way to switch from an even position to a game winning one, and its very difficult to win the game when your opponent has brainstormed a bunch of times
Once the floor of the deck is solid, adding 2-3 high-rarity Characters raises your ceiling against the other top decks in the room
A player will at least need a way to mitigate the threat gain
Thought Scour puts a random card into your hand, Opt lets you choose a known card or the mystery box, Sleight of Hand is the same two-card choice with an open mystery box, and Serum Visions lets you keep both or neither of the two cards you see