They have form....
My iPod Classic will not allow you to output to the TV unless you buy their own £30+ cable.
What is more insidious is the trick that some accessory companys are pulling: they sell a device like a docking station which "connects to a TV" and is "iPod Classic/Touch compatible" however, what they mean is you can connect an iPod Video to the TV but the docking station supports the Classic/Touch in audio mode only. They do not go out of their way to point this out - ask me how I know!!
What is worse is that I haven't seen ANY of the major Apple accessory sellers flogging a product that connects the iPod Classic/Touch to a TV. So I am stuck with Aplles own offering.