Alvin Kamara suspended for 3 games

He did leave his job of being a head coach and ceased to work for a year, so by your own definition he retired.

You don't know what cease means, my friend. Cease means to bring or come to an end. That definition suggests finality. No where in the definition is there room for an interpretation that includes "starting work again". If you quit your job and don't work for a week, 6 months, or a year before finding a new job, you're unemployed not retired.