Amazon gives 1 year of their own warranty on any warehouse item(at least here in UK). But yes, the manufacturer might or might not honour the original warranty separately to this.
Here in Canada, there's no 1 year warranty, though they do seem to allow you to buy extended warranties.
> Used products generally do not come with a manufacturer's warranty but all of our items are backed by Amazon’s return policy. If you would like additional protection, you can purchase a warranty from Square Trade to cover certain items.
Maybe there are better consumer protections in the UK?
"All Amazon Warehouse items are covered under legal warranty for 1 year. If your item becomes defective after the Amazon return period, Amazon will repair any defective item, and if a repair is not possible, we will refund the purchase price in accordance with Amazon's Returns Policy."