  Galego and Samuel showed that if $K,L$ are metrizable, compact, Hausdorff
spaces, then $C(K)\widehat{\otimes}_\pi C(L)$ is $c_0$-saturated if and only if
it is subprojective if and only if $K$ and $L$ are both scattered. We remove
the hypothesis of metrizability from their result, and extend it from the case
of the two-fold projective tensor product to the general $n$-fold projective
tensor product to show that for any $n\in\mathbb{N}$ and compact, Hausdorff
spaces $K_1, \ldots, K_n$, $\widehat{\otimes}_{\pi, i=1}^n C(K_i)$ is
$c_0$-saturated if and only if it is subprojective if and only if each $K_i$ is
scattered.
