Your mate's definitely off base here. The brewing method actually matters a ton. With cold brew, you're steeping grounds in cold water for hours, which extracts things differently than hot water does. You get a smoother, less acidic cup because cold water just pulls out different compounds than the heat does. Hot water extracts more oils and acids, which is why regular coffee tastes, well, more like regular coffee - brighter, sometimes a bit bitter depending on how long it's steeped.
That said, what's your actual use case? Are you drinking it straight, or do you usually add milk and ice anyway? Because honestly, if you're someone who loads it up with cream and sugar, the difference might be less noticeable to you. But if you like tasting the coffee itself, cold brew's definitely smoother and less harsh on your stomach for most people. The 12-hour thing sounds like a lot but it's mostly just sitting there doing its thing while you sleep or work, right? So it's not like you're actually spending 12 hours on it.
Also, cold brew keeps way longer in your fridge - like two weeks easy - so if you're making a batch, you've got coffee ready to go whenever. Regular iced coffee you'd probably want to drink the same day or next day. Does that workflow appeal to you, or are you more of a "make it fresh daily" type?