Uber just needs to trick Swiss citizens into amending the constitution to treat them as not an employer like they did in California.
Swiss citizens are also not immune to culture war. The burqa ban literally was only going to impact ~50 people in the entire country and they spent that much money and time discussing this.
Switzerland hasn't been targeted by big business interests as much to sway their votes. The second they are it's gonna turn into chaos just like other places.