The most straightforward realization of the 16-type idea would be that the dichotomy scores should tend to have bimodal distributions. Infamously, they do not
This seems like one of the clearest tests of the type vs. trait debate. If people really belong to two distinct groups on each MBTI dimension, we should expect scores to cluster around those separate groups. If instead scores form continuous distributions, that seems more consistent with personality traits varying by degree rather than people belonging to completely different kinds of personality