Definition of "unironic"

Fenella remembered, that play with the unironic title of A Woman Killed with Kindness, had reflected a civilization a thousand times more complex.

1958, Anthony Burgess, The Enemy in the Blanket (The Malayan Trilogy), published 1972, page 242

Like some lost America, down to blue strata of cigarette smoke and the completely un-ironic deployment of the Frank Sinatra, […]

2003, William Gibson, Pattern Recognition (Bigend cycle; book 1), New York: G. P. Putnam's Sons, page 313

"M Squad," however, is both unironic and, thanks to Marvin's pent-up acting, bracingly modern.

2009 January 11, Ken Tucker, “He’s a Good Guy, but He’s Not Very Nice”, in New York Times‎