Note: The Babylonian Chronicles entries brought in this answer were translated by me from the book "Historical Texts From Assyria and Babylonia: 9th-6th Centuries BCE" by Mordechai Cogan, which is a Hebrew translation of various Tanach-related Mesopotamian inscriptions and texts dated to said centuries. A different translation can be found here (see entries from "Early Years of Nabopolassar chronicle" through "Early Years of Nebuchadnezzar chronicle").
It is evident in the Babylonian Chronicles that the authors of the chronicles referred to the Land of Israel as "The Land of Chet" (translated as "Hatti-land" here). For example, in the entry for Nevuchadnetzar's 7th year, it says:
"In the month of Kislev, the king of Akkad recruited his army and went to the Land of Chet. He laid siege upon the city of Judah. In the month of Adar, the second day, he conquered the city and captured its king. He appointed a king who was to his liking. He accepted their rich tribute and passed it on to Babylon."
I recently heard Dr. Yossi Baruchi explain that the priests who authored the Babylonian Chronicle preferred using many ancient terms. We can see from the above entry that they called the king of Babylon "the king of Akkad". And likewise we see that Eretz Yisrael was called Chet, because Bnei Chet used to live there, centuries prior1 (and it is so referred to in Yehoshua 1:4)
Knowing this, we may now go back to Nevuchadnetzar's first year (605 BCE), where we find the entry:
"In the year of his crowning, Nevuchadnetzar returned to the Land of Chet, and still during the month of Shevat he paraded around as a ruler. etc"
Notice the emphasized word, "returned". The previous entry, which describes Nabopolassar (his father)'s last year and Nevuchadnetzar's battles against the Land of Chamat and against Egypt in Carchemish (prior to being crowned), makes no mention of a visit to the Land of Chet, for the next entry to earn the term "returned". In fact, the Land of Chet/Hatti-land is not mentioned at all during the reign of Nabopolassar nor during the wars of his son Nevuchadnetzar, until this entry from his first year. It seems we have here evidence of a prior visit to Judah ("Chet") that the chroniclers did not see fit to directly include in the Chronicles for some reason. Moreover, this shows us that the chroniclers were not quite as meticulous as Wikipedia would have us believe.
It seems that the only question that remains is why Nevuchadnetzar is referred to as king in Daniel 1:1, when it seems he was not yet king. One possibility is that he received control of a central Babylonian city or territory from his father, so he was already king of a small area, much like Da'at Mikra's explanation for Daniel 5:1 (footnote 1, section 3) in which Belshatzar is defined as "king", though according to the Babylonian Chronicle, it was his father Nabona'id who was the last king of Babylon before the Persian conquest. Belshatzar was "king" in that he received temporary authority over Babylon when his father Nabona'id entered self-imposed exile for a certain period. It is possible that, likewise, Nevuchadnetzar was given an office of regency even before the death of his father.
1 Of them, the most well-known is probably Efron, who sold the Machpela Cave to Avraham.