That doesn’t sound even remotely correct given the nature of the “offense” in this case, for which the remedy is a fine. Can you cite this “jail the moment you step into its territory” thing?
Jail is a place where you're put if there is a chance that you might try to run away from a trial and its resolution. I was in jail - and I did nothing, the case was immediately dropped.
Additionally, while the remedy for this crime is a fine, the remedy for not paying the fine is prison.