> the most obvious flaw is that the MBTI seems to rely exclusively on binary choices….For example, in the category of extrovert v introvert, you’re either one or the other; there is no middle ground
This is categorically false. Myers Briggs results are quite literally reported on a spectrum of 100 I - 0 - E 100, with your position on the spectrum shown. The 4 letter rollup is exactly that: a summary rollup of your test results.