No, perfection is a high bar. The Epicurean gods are perfect, but us, not so much. As good Epicureans, any kind of pleasure is welcome as it improves our state of mind!
"Is welcome" sounds kind of like: "if it happens to fall out of the sky and hit me on the head."
Probably the issue, in terms of "desire," is more like: "Is it appropriate for you to desire, and act toward obtaining, any kind of additional pleasure once you are in the cave and have your bread and water?"
If so, why?
Because under one reading of the letter to Menoeceus it is only when you are in pain that you have any need of pleasure.