Password hashing scheme selection criteria

Password hashing schemes and key derivation functions are not all equally good for all use cases
Need to be efficient for defenders and inefficient for attackers
To the extent practical
Efficient on common defenders' hardware
Commodity servers, desktops, or/and mobile devices as appropriate for the use case
Inefficient on other types of hardware
GPUs, typical botnet nodes (vs. defenders' servers), FPGAs, ASICs
OK, can't be literally "inefficient" on ASICs, but can minimize the advantage
Numerous other aspects matter too