The issue as I see it, is that one of the main selling points of a pure language like Haskell, is that you have to explicitly state where a certain class of surprises/failures (from IO) lie, and therefore, you can account for them better, handle them cleanly, prevent them from arising accidentally or in some ways maliciously, etc. Partial functions are another kind of surprise/failure, but they are not at all explicit.
This is a bit strange. It's like caring deeply about whether printf fails, but not so much whether array indexing is out of bounds. Haskell has a great story for both kinds of issue, and even its exceptions are better than panics IMO, even if they are about as tricky to use as POSIX signals, but it is relatively obscure and stigmatized to do a gross thing like use unsafePerformIO, but actually quite common/natural and accepted to use head. Lots and lots of people know to do the right thing for the latter, and there is something of a community push to avoid them, but it's just interesting to note how easy it is to make one mistake versus the other, when both matter a lot. One is treated as fundamental, and the other is not, but day to day, both kinds of issue lead to a similar magnitude of headaches, so the disparity is noteworthy.
I'd love it if even just the type signature recorded that exceptions are possible, even if there is no practical effect on how or where it is used.