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The wiki article says twice that a the motivation for studying continuous variable quantum computing is to understand "the ways in which quantum computers can be more capable or powerful than classical ones". But it never explains why you want to use continuous variable quantum computing over qubits. What are your arguments for why the correct path forward is not qubits?

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Why do the real numbers solve more rational equations than the integers? They’re both infinite (though not equinumerous), but the integers can only come close to the reals.

But now you have to demonstrate that your analogy holds.

And this line of reasoning completely fails when you start considering error correction. This is why we need bits and qubits. Aaronson's lecture notes go into the mathematical details if you are interested.

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