Only a programmer would make such a dubious comparison.

Inmates are in prison, incarcerated. Some (about 25%) mental patients are in hospitals, in treatment.

Note: the word asylum has not been used in reference to the mentally ill in the United States since the 1960s. (and I am assuming that Mr.Cooper is American).

It is used in reference to aliens seeking political asylum.

Jeez, so much lost in translation.