The core reason that non-deterministic voting systems are excluded in modern politics is that they make it harder to be a career politician and get relected. As politicians are the people who decide how voting systems look like they don't choose non-deterministic voting systems.

In standard discourse one says that political talent can got lost. Good politicians who have no trouble getting relected in the current system suddenly face a real chance of losing their jobs.

For presidential elections, getting a candidate elected president that's hated by 99% of the population seems a bad outcome. A candidate shouldn't only appeal to a small niche of people.