Is the distinction useful? Like, am I going to lead someone down the wrong path suggesting they write a "script" to solve their problem, instead of a "program"?

Is the distinction useful? Like, am I going to lead someone down the wrong path suggesting they write a "script" to solve their problem, instead of a "program"? At most I feel a script is a kind of program, maybe a short or unsophisticated one. Beyond that, I never think about this.