You've got it completely backwards. Invert your questions: What cookies shouldn't be deleted, and why shouldn't they be deleted? The continued existence of a cookie requires justification, not the deletion of a cookie. Only a small minority of cookies exist for the users' benefit.
Disable it then, just because you're apathetic to such matters doesn't mean the application should assume everybody is.
>inconvenience
It's seriously doubtful you or any other user will notice any negative ramifications from third party cookies being deleted, because there basically are none.
