It will eventually become just another element in economic selection.
The wealthy and the high income earners will start avoiding buildings, businesses, and organizations that won't or can't sufficiently upgrade to be considered safe. Their money will flow and support the healthy/safe alternatives.
Those that are left behind will be the dregs that the poor and desperate use and will gradually fall into disrepair until their owners go bankrupt or give up and sell to someone who has the means and drive to upgrade or demolish and rebuild.
The same thing happens to any old infrastructure where people can vote with their feet.
It won't change my habits. I'm not going to ask every business owner to provide their facilities maintenance info before I go to a place of business. If I get sick I get sick. It may or may not be the fault of the business.
In the town where I live, office and apartment buildings are assigned letter codes based upon energy efficiency, which are then publicly displayed. It's not unfeasible to imagine that something like that could be done for the health and safety profile of buildings. Even if many people chose to ignore such information, I think enough would feel hesitant to enter a building with an "F" grade that it would end up having a positive effect overall.
The wealthy and the high income earners will start avoiding buildings, businesses, and organizations that won't or can't sufficiently upgrade to be considered safe. Their money will flow and support the healthy/safe alternatives.
Those that are left behind will be the dregs that the poor and desperate use and will gradually fall into disrepair until their owners go bankrupt or give up and sell to someone who has the means and drive to upgrade or demolish and rebuild.
The same thing happens to any old infrastructure where people can vote with their feet.