In Rovelli's book he talks about going to Anton Zeilinger's laboratory to see the experiment in person. I assume you'd need a proper lab with carefully calibrated equipment for something like this, but I'm not a physicist.
Even so, an effect that can be demonstrated with tabletop equipment in a lab seems more intuitively real to me than something that requires a giant particle accelerator...
100 or 200 years ago a more or less average person could set up cutting-edge scientific experiments with basic equipment and patient observation – this was the modus operandi of Michael Faraday[1] for example. Sadly it seems like those days are mostly behind us now.