Statistically it would be very surprising if Meyers-Briggs score would not have correlations with some other samplings - but that does not make it any more relevant. The fact that you can bin answers does not make your questionnaire in any way relevant unless you have some theory how the binned statistic can be used outside of the scoring process. Meyers-Briggs is all about the scoring, and has no usable theory how that scoring could be used.

A correlation alone does not mean it "means anything". Accidental correlations are quite common. We also notice them really well and tend to give them more meaning beyond them being random events.

Picking only positive correlations from an arbitrary data set is also known as p-hacking - https://en.wikipedia.org/wiki/Data_dredging