The whole idea of a written test for empathy with precise measurements is just the kind of thing scientists devoid of empathy would come up with.
if you want to read someone who truly hasn't a clue as to what empathy is, read Paul Bloom. Back when Amazon still allowed replies to comments, I got in a very interesting discussion with professional researchers on Bloom's Amazon page.
A number of them had tried, as I had, to engage Bloom in some simple questions but he either dodged them or answered in such a clueless manner that it was obvious that whatever he was criticizing, it was not empathy.