Origin of ironical
Examples from the Web for unironically
To the ROK and U.S. soldiers stationed in the JSA, it is unironically referred to as Freedom Village.Propaganda, Protest, and Poisonous Vipers: The Cinema War in Korea|Rich Goldstein|December 30, 2014|DAILY BEAST
Yes, a man who unironically uses the word “degenerates” feels qualified to develop culture.
You will really, truly, and unironically love this song and never say a word to anyone.
The man who wrote Glengarry Glen Ross actually and unironically references "the current economic jollity."