That is exactly what I am saying. Look at the speed versus power curve. On the front side of the curve the slower you go the less power is required since you get a net loss of drag (large drop in parasitic, small gain in induced).
For example, lets assume you are at 150 knots and your drag values are:
Parasitic drag = 100
Induced drag = 10
Total drag = 110
Now if you slow to 130 knots:
Parasitic drag = 60
Induced drag = 15
Total drag = 75
Thus you have a net loss in drag when you slow.
Parasitic drag increases with the square of velocity, so just a small increase in speed means a big increase in drag and vice versa.
And on the backside of the curve it is opposite, induced drag becomes exponentially bigger the slower you go.