No, a "cashless society" is NOT "up for a vote" in Denmark. A law allowing businesses to refuse cash is.
AND WHAT IS THE DESIGN BEHIND THAT LAW? WHAT DOES THAT LAW INTEND TO ACCOMPLISH?
(mod note: fixed quote tags)
I don't know. Let's ask the authors of the law, as quoted in the article you linked:
The aim is to ease “administrative and financial burdens”, such as the cost of hiring a security service to send cash to the bank, and is part of a programme of reforms aimed at boosting growth – there is evidence that high cash usage in an economy acts as a drag.