Would any of those earn him more potential reward than the other? Possibly.

"A hospital." Which is a lie, but considering his age he figures it to be the most believable option. 'Vindice Penitentiary' isn't exactly something an outsider would understand or know of, but if he was in the mafia it would put Mukuro into a potential pickle. Though his hand does come up to his cheek.

He offers the handkerchief back now, at least. "Are you from here?"