Not really. 'Lit Crit' is a derogatory term for the politically correct postmodern nonsense. It wasn't intended to refer to a well rounded education in the classical sense.
And I'd still like to see a reference to an employers recruting ad for someone versed in Literary Criticism.
Literary Criticism = English. It’s what you study as an English major. Reading something and thinking and/or writing about it is an act of literary criticism.