I agree that invasiveness varies (often widely) from state to state. An example is Buddleja davidii which is an escaped invasive on the west and east coasts, but not so much a problem in the heartland (Class C Noxious Weed here in Washington). But, I'm now finding nurseries are offering sterile cultivars which is a great option in my opinion (I've wanted a Buddleja for years but it really is a problem in Washington so I've held off). It seems a yes/no check box might be incomplete information unless perhaps it also included a link to the plant itself on the USDA web site for further research.
Or simply utilizing the comments section also works, and would seem to encourage further discussion, particularly regarding regional differences.