Yes. Regarding Cid, there's what one might call an invisible meter which begins at 120 and goes down by one every second. The "Yummy Fish" adds 32 to the meter, "Just a Fish" adds 16, "A Rotten Fish" reduces said meter by four, and the "Fish," despite sounding relatively benign, reduces it by 16. Cid dies if the meter ever falls below 30; the process ends and Cid is saved when it is elevated to ≥256.

As far as Gogo is concerned, the character is meant to be mysterious. There's nothing, really, to support any supposition or rumor pertaining to his/her identity. Regarding the Adlai rumor, details can be found here. Since this is EoFF, I'll note that Spatvark is quoted, and mentions Kishi and BOU.