While a non-functional LEGO version of something the resembles a experimental equipment might be fun for some people, none of these things are actually particle detectors.
I do not think we are anywhere close to a DIY subatomic particle detector, but a kit that would allow you to, let's say... test for common minerals in tap water, would be a cool gift for a STEM inclined teenager.
You've probably got one in your pocket already
30's era tech is DIY able.
Considering the general HN content, I assumed that a "model" LHC particle detector would be a scaled down version of the actual system, as in one that works, albeit likely at much lower energies. It's not like garage particle stuff isn't a thing. People build fusion reactors in their garage pretty regularly[1].
A LEGO model is very different from a practical model.
I confess I too clicked the link expecting some cool DIY particle physics stuff, and came away highly disappointed.