Why is there even a choice when the player is getting offered a contract for "Extracting the genome"?
Are there any risks? Can we loose money if the extraction fails?
Why would I decline the offer?
When you accept a contract from a division your loyalty from the other divisions goes down a little.
If for example you don't have any loyalty from science and you get a entertainment mission you might be better of refusing it and try to do a science mission first.
if the Contract fails I assume that you might lose some rep with that faction, but that is just pure speculation I have no real idea if there is anything bad that could or would happen