Extended Chords: removing "low priority" notes without significantly affecting the function of the chord

I was reading about extended chords and came across an interesting principle--leaving out "low priority" notes doesn't really affect the "feel" of the chord:

"Generally, priority should be given to the third, seventh and the most extended tone, as these factors most strongly influence the quality and function of the chord. The root is never omitted from the texture. The third defines the chord's quality as major or minor. The extended note defines the quality of the extended pitch, which may be major, minor, perfect, or augmented. The seventh factor helps to define the chord as an extended chord (and not an added note chord), and also adds to the texture. Any notes which happen to be altered, such as a flatted fifth or ninth, should also be given priority. For example: in a thirteenth chord, one would play the root, third, seventh, and thirteenth, and be able to leave out the fifth, ninth, and eleventh without affecting the function of the chord."

Here's an audio example which allows you to compare the full chord against a version of the chord that doesn't contain the low priority notes.

Chord 1 is a full CM7 chord:
B
G
E
C

Chord 2 is a CM7 chord, without the "5th" (G) note (aka "incomplete"):
B
E
C

Chord 3 is a full CM13 chord:
A
F
D
B
G
E
C

Chord 4 is a CM13 chord, without the "5th" (G), "9th" (D) and "11th" (F) notes:
A
B
E
C