I’ve sent the login privately. The page in question is the front page (“It starts with a wall”).
Just so that I get this right: The Slider Animation Speed should be the time it takes to transition from one slide to the next, right? Not the time while each slide is visible. That is (slightly confusingly) called “Swift Slider Autoplay” in the page meta options and “Slideshow Speed (ms)” in the Theme Options.
On that page Swift Slider Autoplay is set to 10000, which is working correctly, ie the slides stay static for 10 seconds. But the Slider Animation Speed is set to 0, which would suggest there is no fading at all and the next slide immediately appears once the 10 seconds are over.