Your are correct - technically. But...
His cognomen was subsequently adopted as a synonym for "Emperor"; the title "Caesar" was used throughout the Roman Empire, giving rise to modern cognates such as Kaiser and Tsar.
-Wikipedia
Regards,
#27. My name in Hebrew is “king” and I eat salads with a Caesar salad dressing on it. What does that make me besides healthy and throneless (unless you substitute the toilet)?
“A horse, a horse, my non-existent kingdom for a horse”.
To which Kamala Harris interjected, “Here I am”.
I replied, “I said a horse, not a whore”
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“It’s great to be a king!”