There's so much that can go wrong with that, especially if this stuff eventually shows up in some data leak.
Here's some examples:
1. URLs can contain sensitive data, which will tie your session to your person (facebook URLs etc)
2. This could create vulnerabilities in (for example) checkout flows that pass data via URLs
3. I'd rather not make the job of intelligence services easier than it already is
4. Sometimes I clear my browser history for a reason