I think OP attempted to illustrate the idea with a simple example use case, which happens to be solvable with signatures.
I haven't looked into the paper yet. But judging from the blog post description, one use case of mpc + zk that comes to my mind is a second price auction. Bidders submit private bids with mpc, and the result is published on the contract with a zk proof that computes the winner and the second price. If we don't use the this approach, the naive way is a commit reveal scheme with a staking to punish a data withholder. The naive approach requires staking, needs more interactions, and has no privacy on bids. The mpc+zk approach has none of those disadvantages.
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