It depends on the political system. In many a parliamentary system, voting differently than what you are told means you will not be in the party list ever again, so for the day to day, there's very little convincing effort when you have the majority. And especially in systems where there is very little legal money in politics, the carrot is just ability to get access for not-so-legal money. So party leadership is a matter of having enough businessmen friends, and having will to power in a rather unclean word.

The whole "you are just one vote" doesn't really apply there. As the 30th legislator on your party list, you show up and vote as you are told. And in systems like the one in the US, barring rare moments, it's also not all that different. The card that your party will abandon you, and that if you want a position of any importance you have to play ball means many a junior congressperson just votes as they are told, and spends time fundraising.

There are two largely non-overlapping skillsets when it comes to politics and governance. The soft skills being effective means you can get elected, that does not mean they are good at governing (and is often a detriment to having good solutions and governance).

I don't currently have any data that says otherwise and the counterfactual remains unexplored (but it will be with this parliament!), but things that people do and say to get elected often are things that if implemented...would not solve the problems the populace that elected is having.

I don't think we need schmoozers, we need people who understand the problems of their populace and have the structural power to implement their solutions. We shall see if they need more than this, but this would be the first exploration of the counterfactual.

People who have their "own" priorities don't end up upsetting the apple cart when we make success in implementing those solutions the same as their success (which if we are effective problem solvers, should be possible. See Deng Xiaoping)

Yes. That’s kind of the point. The words aren’t that far apart in etymology either. By Latin definitions the most popular (liked by the general public) candidate will be the democratically chosen (rule by the people) one.

Yes but the hope is we can make the popularity center on the solutions and ability to execute them.

Holding a PhD at the very least means you can spend a sustained long amount of time on (potentially) intractable problems and try to arrive at solutions for them. That's a good skill to have when...you've been elected to solve problems.