Is the wikipedia page on statistical power plain wrong then? "The power of a binary hypothesis test is the probability that the test correctly rejects the null

Is the wikipedia page on statistical power plain wrong then? "The power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis (H0) when a specific alternative hypothesis (H1) is true. The statistical power ranges from 0 to 1, and as statistical power increases, the probability of making a type 2 error decreases. For a type 2 error probability of β, the corresponding statistical power is 1-β. " So according to that, if I always reject H0 whether rightly or wrongly, that means β=0 and power=1.