I wouldn't do it simply because I've been at a couple of group sessions where they are talking about proportional representation and changing it, and the level of understanding in the general population is extremely low. I think if you try to get people to pick between three different systems, they would just pick the one they heard of last. I don't think you would get an intelligent vote.
We have elected representatives. We're a representative democracy. We've elected you to do this, to make this decision.