Best guess is that it is similar to Germany. In Germany, there are no anonymous prepaid SIM cards anymore. They're now registered to your name.
Thus, in theory, the gov has access to it too.
Thus, in theory, the gov has access to it too.
This is a myth. If you didn't commit a crime, you aren't on the hook for it. For example: https://arstechnica.com/information-technology/2016/08/publi...
You might, however, get investigated (search warrant etc) because unless such mixing becomes really common, it's reasonable for the authorities to suspect you for the crime in the first instance.
Edit: perhaps a better example is https://torrentfreak.com/eu-court-open-wifi-operator-not-lia...
This is a nice theory. In Germany, if you are the owner of a SIM card associated with a crime, it is well possible that a prosecutor will consider this sufficient for a warrant, and the police will visit you early in the morning, taking away all your digital devices for something between three months and some years.
Regarding the Wi-Fi hotspot examples you provided (which are not quite the same), in Germany there is a nice legal construct called the "Störerhaftung" (liability for interference), in which you have a civil liability for e.g. copyright violation commited over your uplink.
(IANAL)
Like I already said: just because you aren't already on the hook for it doesn't mean that you won't be legitimately suspected of the crime in the first instance.