It seems to me that recognition by Britain and/or France would have been more likely than military intervention. From what I've read, Britain and the US did not want to go to war, regardless of the saber-rattling surrounding the Trent affair. The majority of the British public did not support slavery and would have probably rejected their military being used to prop up a nation fighting to protect slavery. If the French intervention in Mexico had gone more favorably for the French, they might have come into conflict with the US over that. But given the time period, I don't see France going where Britain doesn't.
Upon looking I can't find the string you have quoted. Does it appear in the game by another name? If you're referring to the rejection of cotton bribes in exchange for recognition, that's this event.
Code: Select all
SelectFaction = CSA
SelectRegion = $Richmond_VA
StartEvent = evt_nam_CSA_FranceReject1862|1|2|evt_txt_CSA_FranceReject1862|Event-img_CSA_FranceReject1862|$Richmond_VA|120
MinDate = 1862/07/16
MaxDate = 1863/01/01
DescEvent = evt_desc_CSA_FranceReject1862
ChangeForeignEntry = -5
Since there's no dice roll, France will always decline. When playing around with foreign intervention in the past, I changed that to a DICE roll and added a corresponding event (also with DICE), which adds to the foreign intervention value and negatively affected the faction relationship between the US and France.