Just because you're invoking die after an || or a or doesn't mean you don't have to think about precedence. Consider the following:
somesub $this, $that || die;
If you use 'or' here, you'll die upon failure of somesub (assuming it returns false to indicate failure). If you use ||, you'll die if $that is false. Big difference.
If you call somesub with parens, the argument list is clearer to novice coders, the notation matches what they learned in grade 6 math class, and in this case, the precedence issue disappears.
In my experience, thinking too hard about precedence is usually a clue that you're being too tricky with your code.