But then you switch out your issue tracker service from something like Jira to something else, and suddenly that ID or URL means squat. A git repository can easily be pushed to any git based service be it GitHub, GitLab, Gitea, or something else, and the commit log and commit hashes stays the same.

Porting Jira issues to a different system would probably not preserve those IDs that you entered into your commit message. By all means, refer to your issue tracker in commit messages, but be aware that those references may not be valid in a few years.