Your definition differs from the one used in the article "A person who is looking for a full-time job that pays a living wage — but who can't find one — is unemployed"
I expect there's value in the statistic of everyone who lacks a full time job (unemployment in the sense you mention), but a student who has reasonable prospects of employment in X years, post graduation, is significantly different than someone failing to find an adequate job right now.
I expect there's value in the statistic of everyone who lacks a full time job (unemployment in the sense you mention), but a student who has reasonable prospects of employment in X years, post graduation, is significantly different than someone failing to find an adequate job right now.