This is such a common policy that it's a surprise to me when it's not the case. There's even a term for it: a "grey market" product, meaning a product intended for sale in one region/country, but shipped to another. Warranties are often a dodgy proposition in these cases.

My advice to anyone buying a product in another country that may need warranty service: check the manufacturer's policies before buying. Can you use the regular service network(s) in your country, or will you need to ship the product for service? To where? Will you have warranty coverage at all? In some cases, as the parent noted, policy may depend on your regional distributor rather than the manufacturer.