New Portuguese NHR rules and Australian pension

As I read the new rules, overseas pensions will be taxed at the rate of 10% pa from 31 March 2020, providing that the country of origin has a Double Taxation Agreement with Portugal.

Australia has no such agreement, and yet the amount of pension I receive is below the taxation threshold, which effectively means I pay no taxes in Australia. Anyone like to hazard a guess at whether the new rules will apply to my pension if I move to Portugal?