Mana is not only used to summon creatures and use spell cards, but it is also used in activating some of the creatures' effects or casting instant spells in response to your opponent's actions
Perhaps Erase is a good card against this particular mono-red deck, but that would only follow from logic along the lines of: "This matchup is very favorable for me in the absence of Outpost Siege, so it's worthwhile to sideboard a narrow answer card because it prevents one of main ways I can lose." Such specific and thoughtful analysis of the matchup is great, and it might lead you to play with one or more copies of Erase in your sideboard
Strategy: Swarm tactics, synergy-driven combos, and creature-heavy plays
If either target is an illegal target as Blizzard Brawl tries to resolve, neither creature will fight and no damage will be dealt
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While Honest RutsteinHonest Rutstein can get pricey quickly as the table kills him over and over again, there's also your companion in UmoriUmori as a beefy backup to keep you slinging down two-mana creatures for one (and even a few one-mana creatures for zero)