That lets Bob confess semi-deniably to Alice (if Alice is willing to share her private key, she can still show Bob's confession to Carroll and prove that it's a

That lets Bob confess semi-deniably to Alice (if Alice is willing to share her private key, she can still show Bob's confession to Carroll and prove that it's authentic). But it still doesn't do any matching; Alice will know about Bob's feelings whether she returns then or not.