The loss of half of the MBTI categories is not a serious problem, as demonstrated by the fact that you can't even name the ones that were left out without going back and looking.
Maybe an ESFJ couldn't. Any INTP with an IQ above 50 who is vaguely familiar with the system could write them down after a few seconds thought and a glance at the ones you provided. It's a set of four flipping axis with each extreme given a letter. The names are a plain enumeration.
Seriously, when was the last time you met an ENTP?
I saw my sister last week.
While psychology wonks have been going on for years about the statistical rigor and calibration of the Big Five, most people have just carried on using the Myers-Briggs type indicator (MBTI), which may not be statistical or scientific but is able to categorize people without insulting them.
A serious critique of the MBTI is the Myers-Briggs entropy distribution paradox (or, "Why are there 16 personality types when everyone I know is an INTJ?") A new personality test which has been gaining ground recently, the MLPTI, does not break up the INTJ into multiple categories; but does reduce the number of bothersome non-INTJ personality types and thus ameliorates the entropy paradox. For those not yet familiar with it, here is a rough translation between MLPTI and MBTI types.
The loss of half of the MBTI categories is not a serious problem, as demonstrated by the fact that you can't even name the ones that were left out without going back and looking. Seriously, when was the last time you met an ENTP?