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
Sadly, control decks are some of the worst decks for flipping battles since they usually don't play many creatures, which means the Serra Angel backside is unlikely to show up very often
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
A player will at least need a way to mitigate the threat gain
Planetary Annihilation can be a sort of catch-up ramp card for Red, whereas this gimmick is normally found on White cards like Space Marine Scout or Knight of the White Orchid, which allow players to search their decks for land cards and put them in play if opponents control more lands than they do