You may be right, though there may always be a few. I solved one with a completion rate of like 6.7% and an average time of something like 600+ seconds, though admittedly someone already had the best time on that down under 60 seconds. Wasn't me though - took me more like 460. Still better than average, but pretty dreadful.
Since I only break 30 seconds about 10% of the time, I envy your speed.