They do come up here for medical services- they bring any ailing family members up for care too. Some illegals work at jobs where health care is offered- they WON'T buy it!! Some are on assistance and won't use the programs already in place for them to use for FREE medical services. Instead they go to the ER for all medical care- yes the most costly care- they don't care they don't pay for it.
Our local dentist felt so bad about the illegals and their children showing up at his office as an emergency and in severe pain, he started a program to donate preventative care to them. All they had to do was make appointment, they didn't. They continued to show up only when needing urgent care and disrupting his schedule. His attempt to get them to accept preventative care was a failure.
Last year an illegal arrived here on a walker, people were amazed he hiked across the border on a walker- when he was asked about it, he wasn't even bashful- he said he needed surgery on the veins in his legs, so he came to the US to get it. Border Patrol did not respond, the State Police did and they said they were taking him to a homeless shelter in a nearby town and the folks at the shelter would make sure he got the care he needed. It really has reached the limit.
They won't use it if it's offered for free, either. I know personally of a situation where an illegal had health benefits, but lied to Social Services (don't ya love the name...) about her employment, and was put on welfare. She used Medi-Cal, so Cali citizens got to pick up the tab.
See, there are these pesky CO-PAYS that eat into the beer budget...