At least for those who use the eGate, they have provided hand sanitizers after you pass through. In fact, when this thing first started to get bad, this question was asked at a news conference.

The government is also linking the residents' immigration data with their health insurance card. The National Health Care system will pop up a warning if the person has been to certain areas (and is known to Immigration) so the hospitals and clinics will know to take precaution. It is kind of cool they were able to get this done so quickly.

While it makes sense, I am not sure if this would even be allowed in some countries with strict privacy rules.