I can probably best explain it this way: that play does not have a name, because it's pretty basic and that guy didn't invent it. Clock management is so integral to gridiron football.
https://en.wikipedia.org/wiki/Running_out_the_clock#American...
You probably see that move a little bit more in video games. In real life there's more that can go wrong; you have eleven guys chasing you and you do not have 360-degree awareness. The ball could be knocked away from you, etc. Worst case scenario you hurt your teammates, lose your job, etc. So you will be more conservative.
I think video games have influenced football in a lot of ways, just not that one. Particularly TV coverage - the "sky cams" on high tension wires crisscrossing the arenas, mimicking the unfettered virtual cameras in video games. Also, the superimposed CGI first down lines on the field.