> If the error bars are large, that is important information to know.

The data is available. If it were important to the causal reader, however, then those casual readers would have already demanded its presence. But they don't care. What difference does it make to Hilary Homemaker? She just wants to get to say "Did you hear about the bad economic news?" when gossiping with her friends.

Those who need to understand the uncertainty will already be looking at more than a news headline anyway.