Hmmm. I am tired so I may have missed it, but I got quite the opposite impression from the article. (Interesting read, btw, thanks).
Particularly from:
The question arose at the time as to whether these acts constituted annexation of the eastern parts of Jerusalem. The then Minister of Foreign Affairs, Abba Eban, informed the U.N. Secretary General in writing in July, 1967 that they did not constitute annexation, but only administrative and municipal integration. On the other hand, from the point of view of Israeli law, it was held in a number of decisions of the Supreme Court that the eastern sectors of Jerusalem had become a part of the State of Israel. The 1970 case of Ruidi and Maches v. Military Court of Hebron illustrates this attitude.
In the opinion of the Government of Israel, Jordan never acquired sovereignty over the eastern part of the city since it took control of it in 1948 by an act of aggression, whereas Israel has a better right, since it conquered east Jerusalem in 1967 during the course of a war of self- defence.
When the fighting was over, the Knesset passed the Law and Administration Ordinance (Amendment No. 11) Law, 1967, authorizing the Government to apply the law, jurisdiction and administration of Israel to any area which was formerly part of Mandatory Palestine. Likewise, the Municipalities Ordinance was amended so as to allow for the extension of the bounds of a municipality where a decision has been made as to the application of Israel's jurisdiction to a certain area, as referred to above. And indeed, the Government issued an appropriate order as a result of which Israeli law was made to apply to the eastern sector of Jerusalem, which was also included within the jurisdiction of the Jerusalem municipality.
A special arrangement has also been followed in matters of nationality. Israeli nationality is not imposed on residents of east Jerusalem, but it can be acquired by application on their part.
Israeli rhetoric for the most part seems to indicate a strong desire to retain Jerusalem undivided under Israeli control in any future agreements. If the Arab Palestinians ever decide they want to talk about anything, that is.
(Bolded part bolded by myself)
If you read the part before that, it's quite clear that...
"In 1947, after the Second World War, Great Britain requested the General Assembly of the U.N. to consider the Palestinian question. The General Assembly appointed a special committee -- the United Nations Special Committee on Palestine or UNSCOP -- to investigate the matter, and following the recommendation of the majority of the Committee, the General Assembly adopted on the 29th November, 1947 its famous resolution on the future government of Palestine (Resolution 181 (II)). Part III of the resolution dealt with the City of Jerusalem. The General Assembly recommended the establishment of a corpus separatum (a separate entity) which would be under a special international regime and be administered by the U.N. through the Trusteeship Council and a Governor to be appointed by it. Powers of local government and administration were to be conferred on the local autonomous units that existed in the area. The city was to be demilitarized and neutral. For the purpose of maintaining internal order and especially for the protection of the Holy Places, a special police force consisting of members to be recruited outside Palestine was to be established. Legislative powers were to be conferred on a Legislative Council to be elected by the residents of the city on the basis of proportional representation. The U.N. Governor would have the power to veto laws inconsistent with the Statute of the city as well as the power to promulgate temporary ordinances in case the Legislative Council failed to fulfill its function. The city was also supposed to maintain a judiciary system."
Again, the article is very much round about, so to get the full picture you do have tor read it all. However, it's quite clear that Israel felt the need to argue that they weren't 'annexing' Jerusalem, but merely 'integrating' it 'administratively'. In short, they're saying that they're annexing it but won't call it that. That's what I meant when I'd said that the site tries to wiggle around the law while still being truthful. Weasel words. And this coming from an Israeli-government website.