Now it makes more sense. Going a bit further you could perform it within the already existing framework: apply criminal penalties where sufficient threshold of harm have been reached. Perhaps even judicial doctrine a bit to better handle cases of large number of small, or statistical, harms - there are parallels to how we already tackle health hazards and other stochastic, broad harms.
The key consideration is avoiding perverse incentives. A stellar example is how the GDPR disaster is unfolding: the smaller websites are still plastered with "cookie warnings" making them less usable, while the larger platforms - Youtube, Google - already pivoted the warning dialog into nagging for logging in, making anonymous browsing incrementally less practical. The difference in power lets the larger players use as a moat the regulation that's prima facie about privacy.