The city quality report will not pick up chemicals that enter the water from your service line and plumbing (these are both potential sources of lead).
Testing what comes out of a given tap is not incredibly expensive, state health and environmental departments usually have information about it.
At the very least, I would want to know if my house has a lead service pipe. Several years ago in my locale, the city identified every house with a lead pipe, and replaced all of them. This doesn't eliminate lead solder used on copper pipes within the house. I suppose one could strategically identify the portion of the plumbing used for drinking water, and replace it with lead free.
I think Flint may have been an accident waiting to happen -- hoping that nothing would ever disrupt the passivation built up inside the pipes. I think that replacing lead service pipes nationwide sounds like a public works project. Putting the people of Flint to work replacing their own pipes would bring more than just clean water to the city.