Either way it takes time to consume the logic, but it's nice to have it all in one place than scattered about all over creation. I think that's what he's getting at with Aaron's more macro based view. He wrote thousands and thousands of loc before being able to whittle it down to such a terse amount. I can't read it, but that's less to do with APL and a lot more to do with knowing nothing of the domain of compilers.
The symbols actually make a lot of sense and can help you remember what they do. I can remember quite a few after only playing around with it a bit and reading a book on it ages ago.