No cemetery wanted the responsibility of his grave. You really have to know where to look nowadays.
My first boyfriend in college, wanting to show off, led me to Oswald’s grave. Everyone goes to see where JFK was shot but Oswald’s grave’s location is a bit of a secret. Every so often, his grave makes the news when a group (usually of teenagers) seek to vandalize his final resting place.
Occasionally I go to visit his grave. I’m not obsessed but he was laid to rest in a lovely, well-maintained cemetery and I like having an excuse to visit this peaceful place. A lovely tree casts a shadow on his grave during parts of the day. Cars pass by.