[Osmium]

Really? I know someone who got a PhD position by doing just that. Talking to a professor directly seems like a great idea as long you're sure you're not wasting their time (i.e. that you're a suitable candidate).

Even if you don't get the position, there's still a lot of value to be had from a conversation (for both parties).

[gems]

Off the top of my head I can come up with 3 professors at my school who say that on their home page.

My perspective may be too cynical though.

[lmm]

Or not cynical enough. They no doubt say that because it's expected, and/or because they don't want to be contacted by thousands of hopefuls. It doesn't mean it's true.