They are separate questions.

Extremely low DoF makes things look, well..., weird.
It's not how close you are, but how big you blow up the thing that is going to fill the frame that determines DoF.

Perspective is the thing that gives away that the camera was used by a giant looking down on the world from far away, using a longish lens to pick out interesting bits.

But yes, when you want to take ful frame pictures of small things, DoF is extremely shallow.