I think this will discourage people to use them, but in wartime, people will just have a bigger food stockpile, like Micchan said. Now if radiation lingered for longer, say 20-30 days, then that would discourage people from nuking. 8 days is too small of a timeframe for people to care about it. They'll be like "I can wait it out" But if it was longer they would be discouraged from it happening. Now, that doesn't mean alliance won't discourage it, it just means we have to wait and see.
Right now, anything is possible.