I have worked with many legal immigrants who were constantly going to hearings and meetings to keep their visa current. They would have never dreamed of collecting welfare. One even had to visit the regional state prison to visit the doctor who had first given his family the medical exams to prove they were not ill.
Now, walk right in and say “amnesty” and you’re living the life courtesy of the stupid gringo.
Do it the way other countries do it. If you want to live here, you need at least $100k deposited in a US bank.