If you're talking to Apple Support reps via phone or chat I find that they usually aren't familiar with the hardware and just have access to a number of support documents with information on them that is not always true or complete so they probably are incorrect. Especially so whenever the hardware (iPod Classic) is over 10 years old at this point. I wouldn't worry about charging with it, a lot of older iPods came with similar bricks during the Firewire and early USB years.@retta283
Apple say otherwise or more like depends on who I speak to.
You can get a FireWire version of the Apple wall charger that has the same removable prong to switch to any regional plugs so that would be fine. Just note though that the 160GB classic cannot sync via FireWire, only charge. It may charge faster than USB though when using the wall adapter which is what you're after I assume.I was referring to the cables that attach to a wall plug for UK socket.
If you are looking to get the items you need to charge an iPod Classic brand new, Apple still sells the 30-pin to USB cable on their online store: https://www.apple.com/shop/product/MA591G/C/apple-30-pin-to-usb-cableAre you able to tell if an apple adapter and cable is genuine?
I've already seen the apple article on this.