> My impression is this is only true for some transplant types.

Other way around. Organ donation after cardiac death is only possible for certain types, and only in very limited circumstances.

Hopefully things will improve because it would vastly increase the number of possible donations. The vast majority of people can not donate organs even if they want to - it requires a very specific type of death (brain death where the body is just fine).

Many people also have religious and ethical problems with it because you are killing someone. Obviously that depends on how they define death, which has no commonly accepted definition, the current definition "brain death" was set that way to make organ donation possible, and that makes many people uneasy.