Single choice voting would lead to the exact opposite result. People would stop voting for their favorite choice in order to support the "least bad" of the popular options. That in turn would distort the vote count and benefit not the most popular options, but the options that people think are popular. Like, Markgraf didn't have all that much discussion in support of it before the moratorium ended. People with it as their favorite might instead just have voted for Tutor, which got a lot of chatter.
The best system available for informed voters is instant-runoff. The best system that also minimizes genuine mistakes is Approval. But FPTP is always and objectively the worst and I'd only ever support it in some kind of Quest that has simulating political quagmires as its mission statement.