Critique of the IPA vowel quadrangle, especially the use of vowel points in it

The globally widespread kind of description of vowels by points in the IPA quadrangle with the cardinal vowels as references is very often not trustworthy in its detailed specification. The reasonable interpretation of a dot registration is namely that the vowel quality is very narrowly pinpointed. However, most phoneticians do not have the capacity to judge vowels in this detailed way. Consequently, the point notation use of the quadrangle should be abandoned, except when the judges are in command of the cardinal vowels. This line of reasoning concerns a short time perspective. Seen in a larger perspective, other shortcomings of the quadrangle should lead to its abandonment. These shortcomings are discussed shortly.