But every time someone brings up old ideas, in this case Plato's philospher caste, there's an immediate question. If it is so great, and if it worked in the 19th century, why did it die out? Good things don't vanish randomly. Whenever someone tries to restore some old form of governance the question needs to be answered why it died out.
I think for Plato's Republic it's quite obvious. Modern commerce and technology, mass communication and the information society have melted all that is solid into air, and there's no barriers in the way of democracy. Celebrities and businessmen have more to say than the Dean of Harvard and that's not going to change unless you put technology back into its box, which is hard to do.
The author brings up China as a modern society that improves governance, and I think that's true. But Chinese politicians aren't philosopher kings. The CCP is more like a hyper-competitive, ruthless machine than some kind of school for the humanities. Xi himself was cast to the countryside for years, people who make it to the top have to proof themselves over and over, and punishment can be quite harsh. It's fundamentally still Marxist and technocratic, and sees economic and technological advance as a driver for pretty much everything. It's not virtue that matters but Darwinian competition.
Stalin said that Leninism is American effectiveness combined with Russian revolutionary spirit. I think when China decided to ditch parts of its socialist economic program but kept it's Marxist political system in place they created a governing body that embodies that quite well. I don't think it's possible to recreate that in the West at all.