> Yet millions of Japanese people are fairly adept at reading it.
Yes, because it's their native language. Doesn't say anything about the difficulty of it. My mothertongue is Spanish and I'm fairly adept at using it, and still doesn't mean that some aspects make it harder than other languages (verb conjugation, gendered nouns).
> or referencing well-known mathematical counterparts.
As a mathematician, other than the very basic symbols, most of the ones used in APL are not familiar, or are used in different contexts. For example, × is cross product and in APL is regular multiplication, ⍟ is logarithm even when "log" is what's used in math, and "⊥" looks to be polynomial evaluation when that's usually the symbol reserved for orthogonality.
> Counting the elements in an array is ≢
Funnily enough, that symbol is "not equivalent" or “not congruent” in math. Never would have though it refers to the symbols in a paper.