In theory, wet bulb should be used by weather reports on hot days, but for some reason it's not. IIRC it's hard to measure or to universalize - that is, it's hard to produce a consistent, meaningful, clear metric.
Yes. My point is that there isn't a consistent, reliable method to define, measure, and communicate that. And without such a method, authorities like the CDC can't make recommendations that may affect life and health.