Ridiculous idea. What would be the point of it.
Argentines knew we had nukes. They were equally aware we would not use them in such a situation
The Argentinial leadership knew the British had nukes.
The people however would be intimidated.
Perhaps a public uprising, when the people think of Hiroshima or Nagasaki?
And BTW, calling someone's idea "ridiculous" is not very polite.