I disagree. It's a great example. There was nothing at all "slashy" about this relationship. As a general rule, I don't mind any sort of shipping (unless it involves an underage character paired with an adult, or something along those lines). But, there's nothing wrong with thinking that other people are going overboard by shipping a pairing when the actual relationship is obviously platonic.
And I don't think the OP has a problem at all. You and the OP's friend on the other hand...