Simplex is a faster and better revision of Perlin.
But if your not conviced look at this.
Linking me to the wikipedia articles is probably the dumbest thing I've ever seen anyone do. In case you've somehow missed my existence on the forum, I only argue about topics I know I can win, meaning I have done my research.
First off, Simplex gives undesirable results in comparison to Perlin. Look at the visual differences in your example. They're far too drastic in change to support a desirable terrain.
Second, they're using Perlin incredibly inefficintly. I'm positive this was intentionally done to exacerbate the speed difference. Just look at their code, it's horrid.
Third, there's more considerations than speed to take into account. Perlin noise is significantly more manipulatible and customizable than Simplex. Simplex noise loses on every frontier besides speed, which you're right, it's faster. That does not make it better.