Smothering Tithe triggers whenever an opponent draws a card, including when they draw their card when their turn starts
Flavor Text "Sure, I've got nine lives, but that doesn't mean I'm keen to waste one now." Number 56 Language English Legal Formats Brawl, Commander, Competitive Brawl, Historic, Legacy, Modern, Pauper, Pioneer, Timeless, Vintage Not Legal Formats Alchemy, Standard Rulings (1/24/2020) Once the exiled permanent returns, it's considered a new object with no relation to the object that it was
Odds are you can choose an opponent to collaborate with when casting Allure
Slayer's Stronghold
It also provides more synergy for decks using bounty counters which can improve the card draw in those decks