I think that people should be able to make big decisions that effect them. Direct democracy is more useful than ever, the elites use our republic to manipulate people more than ever. They game the system and with no balance or checks on their power.
Further, certain other countries do not in fact vote directly for their 'most powerful person' -- in Canada, you vote for your representative locally and the party with the most local representatives sends their leader to be Prime Minister, and even there, the Governor General in Right of the Queen has final say just to make sure.
I think as noble as 'I get to decide what matters most' is, it's worthless when issues reach the kind of complexity that requires specialization in your field. As another poster mentioned above, you don't vote on what kind of medicine a child gets, you leave that up to a doctor -- a professional. Now feel free to pick that professional!
This distinction seems arbitrary and basically restricts the ability for someone or some association of people to promote their ideas.
And that's not entirely false, parents can decide what medicine and procedures to put a child through. Doctors aren't all knowing, they make many mistakes and are even in the favor of special interests like pharmaceutical companies.
People feel qualified to weigh in on any political issue because that's always been that narrative. I see it asking the general population, without any further information to vote one day or whether Apple should move factories out of China. You know literally nothing about what's going on, so how could you possibly make that decision for Apple? That's up to their board.