I agree with the most part. Most definitely you can't map out anything. That would be a very misguided attitude. However, i think that the same function might be expressed in very, VERY, different ways.
For instance, the big 5 agreeableness is not necessarily high Fe or low Fe, which i think is the no 1 fallacy when it comes to typology. I would characterize as how you express your Fe/Te/Fi/Ti as a whole. Someone that scores very high in agreeableness most definitely has a very strong Fe or a very strong Te but not necessarily in a more expressive/"pushy" manner.
I went to my own archives and... You seem to be reasonbly accurate...
I made based on two topics from here a correlation between dario nardi cognitive function test results versus big 5 results.
I had a dozen people, not appropriatte but better than nothing.
Things changes in facets, but in general agreeableness none of the MBTI dimensions gets a significant correlation, except F that deserves a weak mention in favor of agreeableness, but its too weak. However, I had also done Jung J/P (I measure Jung J by Te+Ti+Fe+Fi-Ne-Se-Si-Ni), and in fact, the correlation was medium and worthy mention. And yup, Fe doesnt reach even a correlation worth mentioning. However, Fi is the only on cognitive function mentioning for having a weak correlation. However, Te doesnt make it either. And on negative side, Se have a medium correlation and Ni has a worthy mentioning negative correlation.
Me looking at single cases, I had found high agreebleness with no Te and no Fe on front. Actually, the highest one is very introverted having Ti and Fi on front (and that isnt me), stack starts with Fi>Ti>Ne, type InfP.
But it doesn't mean that he isn't an Ni-Fe-Ti-Se INFJ.
Again, doesnt stick with these guys that defends this stacks.
There is nothing evident that a stack like that really exists for INFJ. I dont have to counter-prove them, they need to prove it themselves. The best approximmation for a stack I could find for that type is Ni-Fe-Fi. As an approximation!
Thats true for also other things you mentioned. You need to be very careful by assumptions that relys on a specific tertiary function, because these assumptions have a very good risk of being incorrect. Also, the last function, not exactly all INXJ are really Se-tards..
If i don't know that, then i won't know my strengths. Playing your strengths and covering your weaknesses is what makes career/life plans work.
If you are looking for that (your own strenghts), you are on the wrong departament.
Personality tests doesnt predict job perfomance, they predict statisfaction.
These tests try to measure your personal preferences, not your skills. That includes Nardio ones. Sometimes, at best, they measure how you think you are skilled, not the actual talent.
In Brazil private sector is late as usual, but in US they are already replacing personality tests with skill tests (the full list of them is about 20, I think?). Google search "critical thinking test", it must be in english (in portuguese you will only find quizzes) and you should find some websites with a small version of Watson-something critical thinking test (I think thats the name) and on these sites you will also find more skills, like ones measuring diagramas, pattern recognition, etc..
There is not a direct connection between these and cognitive functions, but there is some connection. The thing is, your preferences and talents dont usually matches. This reminds me of videogames... In battlefield 1, I knew people that had 1000 hours of experience, had a high appreciatte for the game, and played just like a regular Joe with 50 hours of experience. Also, I knew people who said the game was a crap, had low attention for it, and when comes to the field, it was a complete show.