No, that’s the definition provided by a commentator on the Koran, neither your definition nor mine, nor the Koran’s.
Your reasoning is like arguing that the footnotes in an annotate version of the King James (or ‘Authorized’) version of the Christian Scriptures are part of the Bible.
Arabic speakers speaking in a non-theological or non-Muslim context use the word in its original and general meaning of ‘struggle’.(there are Arabic speaking Christians—my Metropolitan and Patriarch are both native speakers of Arabic, and my Bishop is fluent, for instance, and besides the Orthodox, or Rum, as we are called in the Middle East, lots of Maronites, Melkite Uniates, Syrian Jacobites, and, for that matter, since the Arabization of Egypt, Copts).
The sheer vileness of Mohammed’s false teachings is not a reason for you to either misunderstand or misrepresent Arabic linguistics.
Qur'an:2:216 "Jihad (holy fighting in Allah's Cause) is ordained for you (Muslims), though you dislike it. But it is possible that you dislike a thing which is good for you, and like a thing which is bad for you. "Warfare is ordained for you."
Nothing to suggest "personal struggle" in any of it.
The Koran is nothing but a war manual from beginning to end. Just put it in order and read it. The only time abrogation occurs is when a later sura replaces an earlier one, which is why the Koran has to be read in order it was "handed down" (made up by Mohammad as he went along)There is nothing 'peacefull' and about a 'inner struggle' in any of it.