I thought you answered this very clearly and credibly! I would add that an issue with these unsupported and harmful claims being thrown out by huge politicians has many negative impacts. Firstly, the misinformation is racially driven and said in attempts to kick hard working immigrants out of a country, and further add fire to the polarization between immigrants and American citizens. Secondly, well known politicians making such broad claims without any real consequences sets a dangerous precedent for the information that circulates, and makes politicians, reporters, and neighbors less trustworthy.