[majormajor]

"Not providing the option very frequently" is pretty indistinguishable to me from "nudging in the wrong direction"...

but here's a much more explicit nudge example: https://en.wikipedia.org/wiki/Don%27t_Mess_with_Texas

[uoaei]

You're just trying to redefine the concept of the nudge. What a nudge is, really, is a thing whose purpose is to influence a choice, not to constrain it so that there is no choice.