Based on my experience in the Ontario referendum campaign, I would not be optimistic about the prospects for political education through the party organizations themselves. I think that kind of education is always going to be refracted through a partisan lens.
What we found in the referendum campaign is that the parties played a confusing role. They sent out confusing and mixed signals to their own voters. That was especially true of the Ontario Liberal Party of the time, which itself was conflicted over its initial recommendation to create a citizens' assembly to explore electoral reform. If that means a greater role played by Elections Canada in educating voters, I would be all for the bureaucratic overreach entailed in that system. I don't see it occurring through the parties themselves.
Another thing was that there was a lack of information in the Ontario referendum campaign. The citizens' assembly report was not published, as far as I know, by any newspaper. The copies disappeared very early in the referendum campaign. I remember going out to local farmers' markets and people asking for a copy of the report, and I never had one to give them. I'd have to try to summarize it myself.
There was, then, a lack of education, a lack of information, confusing signals put out by the parties themselves, all of which led to a less than optimal context for the conduct of the referendum vote itself.
Again, just to confirm something Professor Carty said, what we found in Ontario was that the more people knew about the system being proposed, the more likely they were to support it, but that was a minority of the voters.