Maybe all of those PhD students would have their time better spent on this task than pretending, as if often the case, they’ve done some original work on an important theory that’s found something “for the first time”.

I mean I'm personally biased as a PhD student myself, but I think this is a great idea. I made the core of my project to basically take a picture of a phenomenon that has been inferred from spectroscopy but not observed directly. So verification, not exactly replication, but same idea. Turns out that doing something like this is very hard and makes a worthy PhD project. (I haven't managed it yet, and am starting to wonder if my eventual paper might actually end up being in support of the null hypothesis...)

But I'm also not looking to go into academia after I graduate, so I'm not to worried about trying for something high impact or anything like that. I think for someone angling to be a professor the idea of a replication or verification project may be a harder sell, which is largely down to the culture of academia and how universities do their hiring of post-docs and such. I mean, even in this case more people are still going to be familiar with the names of Lee and Kim than any of the researchers who put in work on replication studies (can you name any of them without checking the article?).

tl;dr definitely a worthy goal and replications should absolutely be encouraged, but it's going to take a while to change the whole academic culture to reinforce that they're valuable contributions.