The article made me cringe. Why do they always add the word "continuous", as in maximum continuous rated power? In that context, continuous has no meaning, as the rating of the motor can't change, so it's always continuous. It's the same as saying the continuous colour of the front light needs to be white or the continuous brakes must work.
It's what the laws say that they are repeating:
From the original EAPC law of 1983:
2. In these Regulations—
“continuous rated output” has the same meaning as in the 1971 British Standard;
And from the Two and Three Wheeled Type Approval law exemption for EAPCs:
(h) pedal cycles with pedal assistance which are equipped with
an auxiliary electric motor having a maximum continuous
rated power of less than or equal to 250 W, where the
output of the motor is cut off when the cyclist stops
pedalling and is otherwise progressively reduced and
finally cut off before the vehicle speed reaches 25 km/h.
.