If proof-of-work scheme, then total issued amount differs. Method doesn't matter. It depends what do you have.
While Dogecoin has no bounds in the total amount so it will last forever, NXT is using another method especially in security.
If discussing about security, if you have found the crypto has no multi-sig options, then there may be issues such as fund theft as some people have developed a way to generate a very big 'directory' of the crypto which follows the 256-bit ECDSA scheme in order to 'tell' their governments they can 'control' the crypto.
If multi-sig used, then you will need more power to deal with, as it supports n-n inputs which makes extremely difficult even the layer one private key finally all cracked.
In order to crack the multi-sig, you need to know how many private keys are needed to crack.