Thatbags I would agree that the word "may" would be better in this instance.
janeainsworth I wasn't all that impressed with the examples in the link but when I was learning about this (from a psychologist) it was to do with management. The point that was made to me was that both sympathy and empathy are right in different circumstances. I have just reread the way this example puts it and it is completely the reverse of how I was told
although, in some ways, the explanations are similar. In the version I received the person explained that getting into the hole would probably be appropriate with a friend who, say had lost someone close. You would show that felt a little of what they are feeling; this is sympathy. Whereas, in a work situation, etc., staying at the top of the hole, conveying that you understand the situation but helping them move it forward - getting someone "out of the hole" - would be more useful; that would be empathy.
Both are also inappropriate in some circumstances.