There is more sources of lead in the environment than just the drinking water. The number one source was lead gasoline use, which was only fully banned in the United States in 1995.
Hence the steep decline in children's lead levels.
It seems very strange that if leaded gasoline was fully banned in 1995, that it could be blamed for raising lead levels in children who were not yet born.
In fact I looked at some other graphs online and it looks like blood levels of lead due to gasoline started declining long before the year 2000. So the graph you posted earlier would appear to show that there was something else going on in Flint.