I don't know if they still do it, but the fashion, back in the 1980s, was to give a Myers-Briggs-type test to candidates.

Maybe I'm wrong, but given the type of company it was (and likely, the C-suite people), I guess that they were doing something similar. I assume that they really did want to know about the person's non-worklife stuff.

I would consider that crossing boundaries. It's also possible that some of the questions might have been illegal (in the US).