DNS request will go to the DNS server but from what I can tell the packet wont go anywhere else. At least on my own network, traceroute gives only one entry and its the final destination. I assume this is because the router knows its own public IP and as such knows the packet doesnt need to be sent anywhere else.

People have talked about this before, but it really does seem like people have forgotten how bad some of these diseases could get and how much vaccines helped us. In 1991 plenty of folk remembered polio, maybe even had a relative who got it. Good number remembered smallpox and/or got that shot themselves. But now less and less people really understand both the scale of devastation those diseases caused and the scale of how many were helped and saved by vaccines.