This matchup is about disrupting their ramp/colorless shell and answering Emrakul, the Promised End before it resolves. Consign to Memory counters their colorless spells (Emrakul, Devourer of Destiny, Sire of Seven Deaths, and the devoid Sowing Mycospawn) for cheap. It can also counter a triggered ability, such as the cast trigger on Emrakul or Devourer of Destiny. Thoughtseize takes a key nonland card like Emrakul, Devourer of Destiny, or Kozilek's Command out of their hand early, before they ramp into it. Surgical Extraction helps strip a copy of Emrakul or key engine pieces once you see one, denying redundancy. Drown in the Loch is unreliable here because it is gated on the size of their graveyard and their biggest threats have a very high mana value. Flare of Denial is clunky in this grindy matchup when you would rather keep your blue creatures. Sheoldred's Edict is less useful since they have few early creatures worth forcing a sacrifice on before the big colorless threats land.

Rakdos Delirium relies heavily on cheap one-toughness creatures and graveyard fuel (Stitcher's Supplier, Street Wraith, Mishra's Bauble) to power Nethergoyf and Moonshadow, so Hidetsugu Consumes All's first chapter wipes their one-mana-value creatures and artifacts while its second chapter exiles graveyards, crippling their escape and delirium plans. Surgical Extraction strips key pieces like Nethergoyf or Fear of Missing Out after they hit the graveyard. Thoughtseize proactively strips their best threat or removal before it matters. Flame of Anor is too slow against this aggressive clock, Force of Negation is weak since they're not relying on a single must-counter spell, and Sheoldred's Edict is unreliable since they run several cheap creatures to sacrifice instead of a real threat.

Esper Control has few creatures worth killing (mostly Solitude), so Sheoldred's Edict and Lightning Bolt have limited targets here and can't touch their enchantments or sweepers. Thoughtseize lets you proactively strip their best disruption (Teferi, Narset, Orim's Chant, Day's Undoing) or a sweeper before it resolves, which is crucial since you're the one trying to land threats. Consign to Memory is narrow in this matchup: it can counter an Isochron Scepter spell (it's colorless) or a triggered ability such as Solitude's enter-the-battlefield exile trigger. It can't stop Isochron Scepter's activated ability. Keep Counterspell and Force of Negation as your main way to fight through their disruption suite. This is a grindy matchup decided by card advantage and resolving threats, so prioritize discard and efficient countermagic over removal.