Do you have a reference / link I could see that it's called Shadowing? I've never heard that before.

Alls I know is, "double click layer, go to shadow thingy." in photoshop. haha. Today I will learn something new.
Despite the logistics behind whether or not the first one is truely a "correct" shading job or not is not what I'm getting at. What I'm getting at is bottom line,
is that example concise?Not at all!!! The shadow is much too harsh, it is drawn too far from the "floating" object so that it feels like you have double vision. From a genuine design outlook, this will not be suitable. Again, I want to take a step back as there is a "time and place for everthing". But if you want it clear and readable by the viewer, the first example does not cut it.
So really, maybe I am having a readability issue. It's the function (or lack therof) in a design that gets severely overlooked. And when someone makes a header on a website that is supposed to be instantly recognisable and concise to the viewer and fails, well... that's when I get sad and a little confusing to follow.