The pun worked in English, but what was it in Japanese?
What Hades pronounced is「お前のゆいとおりだ」, which is a pun on 「お前のゆうとおりだ」 ("exactly as you say", "you're correct").

To break down:


お前 omae: "you"
の no: (subject marker)
ゆう yū: a colloquial pronunciation of the verb 言う (いう), "to say"
とおり tōri: "as", "like", "the way"
だ da: (copula, "is")


ゆとり is not relevant.

So in the Japanese version, it's the pun on Yui (the name of the heroine) and yū ("to say"). The translator did a good job, taking advantage of the fact that English "you" and Japanese "言う/yū" have similar sounds.

Note that this sounds like a typical cheesy "oyaji gag" to the ear of Japanese, usually completely unsuitable for a romantic situation like this. I don't know about the male character, but is this his way of speaking? :)