Occasionally I found $\prod$ (\prod) looked like $\sqcap$ (\sqcap). However if memory serves me right, is it more closer to $\Pi$ (\Pi) in many other places? What's more, since \sum is close to \Sigma, \Pi seems more suitable for \prod.
Note that the question is not 'Should \prod be replaced by \Pi?' but 'Should the feature of \prod be similar to \Pi?' That is, since \prod in many other places(such as books we usually read) looks like $\Pi$, whereas looks like $\sqcap$ in here, so I think someone who does not familiar with this kind font will easily get misunderstand.
This diagram illustrates the problem, even some other users cannot see it, but it is real a fact for me.