But this strikes me as more of an archetype-specific piece than a general-purpose card for most decks
This simple ruling may not only completely ruin your opponents plans, especially if their deck relies on casting lots of spells, but also stop them from doing it altogether, which is a win-win for you anyway
Say you have two cards in hand: a Tarmogoyf and a Remand

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Songs like Be Prepared can swing the board state, while action cards and items keep your momentum flowing, turn after turn
Alternatively, once it's in play, you can tap the card and pay three colorless mana to give a permanent or player one counter of a type it already has