What is so "direct" about the direct product?

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Let $A_1, \ldots, A_n$ be objects in some category of universal algebra. Then we may form what is called their "direct product"

$$ A_1 \times \cdots \times A_n $$

with pointwise operations.

I've been wondering why we call this construct the "direct" product. Categorically, it seems to be one of the (canonically isomorphic) ways of constructing a product. What is so "direct" about it? After all, the diagram that the limit is over is devoid of arrows!