Hello.
The slider was created with the SP Page Builder Slideshow add-on. It allows individual configuration of each element, from the background image or color; every element visible on each slide can be configured.
I'm not sure what you mean by "animated layers, not separate." Each slider is an item, with a background image or color and its text or image elements, so we could say they are separate and have text layers.
In the demo, they don't appear to be individual because we have the fade effect selected instead of the slide effect.
I hope I've understood and answered your question.
Regards