"Don't use Automatic Image Sliders or Carousels" is good advice, but it misses the heart of the problem: don't design user interface without a purpose. If "what is the purpose and goal of this website?" is the first question you ask when designing a site, you should never end up with "carousel banners!"

The image slider is a classic example of user interface being built without being designed around purpose and function. This is a shitty design paradigm that has somehow lasted for years and years, but there will always be trendy things to do that are extended past their original purpose.

Start with purpose, then design a user interface that meshes with those goals, and good things will happen.