No, the Cylon player had it right. They can exchange their super crisis, but they only get one per game. Once it is used they cannot get another.
The wording is annoying and I wish some of the items would have spelt out when you it is optional and when it is mandatory.
That is correct - only one super crisis per game, but the resurrection ship lets you go fishing for a new one if you don't like the one you got. I don't have much to add beyond that, but sometimes weight of numbers can cement an opinion.