The optic nerves cross over at the optic chiasma. The lateral nerve of each eye does not cross over but the medial nerve does. This causes the right side of the brain to receive information from the right side of both eyes. Therefore, there appears to be no crossing over. But the lens of the eye makes it so objects on the right side of the retina are from the left side of the field of view.

Stereovision helps us to see where objects are relative to our bodies with
great precision. Stereo vision is especially useful when objects are
moving away from us or toward us. Because of stereovision, we can see a
around a three dimensional solid object without turning our heads, and we
can see empty space (5).
Not convinced that stereovision is important? Have someone throw
a ball at you, and try to catch it while you have one eye closed.