What is the strategy called which forces opponents to discard cards?
First, I want to note that &quot;mill&quot; as a deck strategy name is just named after &quot;mill&quot;, which is the common unofficial (now official) name for the action of putting cards into the graveyard from the library. Following that pattern, the name of a discard strategy would just be &quot;discard&quot;
Discard alone generally isn't a strategy because it doesn't actually win you the game. Once your opponent's hand is empty, they can usually play the card they draw each turn before you have a chance to make them discard it.
Decks built around effects like Davriel's triggered ability can be called &quot;rack decks&quot;, after the original card with that kind of effect, The Rack, though that fits better with decks that actually play that card. For example, 8-Rack is a commonly recognized name of a deck archetype that plays 8 cards with that kind of effect.