There're many articles and videos in the internet saying that FinFET has a big advantage in transistor density, however it's difficult for me to find an example about how one FinFET's fins are actually connected to other electrodes such that the density is increased compared to using MOSFET.
I did find some convincing reasons for the density advantage claim (and I believe it's true in real life too)

If yes is there an example of such use case? Or otherwise what's the technical blocker or disadvantage of doing so (e.g. maybe it's difficult to manufacture conductive paths at the same resolution as the fins)?
I did find some convincing reasons for the density advantage claim (and I believe it's true in real life too)
- FinFET is less susceptible to short-channel leakage current, thus takes a smaller area than a MOSFET alternative (w.r.t. same noise requirements)
- FinFET has smaller gate width and length such that even several fins added up to a single source/drain it still has smaller area than a MOSFET alternative

If yes is there an example of such use case? Or otherwise what's the technical blocker or disadvantage of doing so (e.g. maybe it's difficult to manufacture conductive paths at the same resolution as the fins)?