The same was true of both sides project. On the one hand Thatcher was by then, the most unpopular British Prime Minister ever recorded, and she was certain to lose the next general election. And on the other hand, it was the dying days of a Junta which was also deeply unpopular. Both needed to whip up support which they lacked due their failed policies.
The irony is that up until that point, there was a mutual admiration for each other between the Tories and the Junta. They shared pretty much identical economic policies, and under Thatcher Britain was training and arming the Argentine military, despite the fact that the Junta was at war with its own people and torturing and slaughtering Argentines – something which Thatcher fully supported.