I doubt the client is wanting to make a massive investment in customer support, but they're probably also not wanting to be actively hostile to anyone who wants that support. It wouldn't surprise me if the client's older support page was little more than a phone number and/or an email address, and the only reason they moved away from that is because of spam. Maybe they're another step removed from that again, but they're not the 16 steps removed that the Fuck Off page is.
If the client's intent is to provide as little support as possible, that would probably have come up during the conversation where they said they wanted that design, but it seems that they like that design for other reasons (it's a decent way to seem bigger than you actually are, seems more professional maybe?).