Death certificates are public records (at least in the UK) so why shouldn't you be able to get one? I think the alternative, where people's deaths could be kept secret by the state is a far greater risk than the privacy rights of the dead (GDPR type laws generally apply to the living).

I don't know about elsewhere but in the UK anyone can apply for any death certificate going back to 1837.

Applying is one thing. Giving unrestricted access to anyone, which contains a ton of private information, be it of a deceased person, is not OK. Going back to my original statement: fake name, fake email, untraceable payment.