No, you're just using the word wrong.
Kurama and the Sharingan aren't conceptually the same because the Sharingan is something that is naturally part of Sasuke. It's not circumstantial. Regardless of the circumstances of Sasuke's birth, he would still have the Sharingan. You can, however, change the circumstances of Naruto's birth and get results where he wouldn't have Kurama. That's what makes them difference.
Even if Kurama was Naruto's birthright, it's still not naturally a part of him. This is like saying a car you got from your parents' will is the same as your blood type.
With Naruto, it's inherently different. Kurama is an external thing given to Naruto after his birth. It's not naturally or inherently a part of Naruto. That's what makes it more compatible with Eternal Mangekyo Sharingan; it's something from an external source given to someone who would otherwise not naturally have it.