[Mossad1967]

The "Big" attack is supposed to take place before that date.
Before the end of the feast.

[ganesha]

The last time I looked at that countdown site was at about half past midnight. It said 32 days 23 hours 30 min. If I am counting correctly then zero hour would be the midnight between Feb 3 and the morning of Feb 4. That would seem to be slightly after Eid. However the date seems to be an estimate of the visibility of phases of the moon rather than a precise solar date. Some sites say Feb 1, others say Feb 2. Here is a quotation:

Although calendars are printed for planning purposes, they are based on estimates of the visibility of the lunar crescent, and the Islamic month may actually start 1-2 days earlier or later than predicted. source

Here is another site

Eid-al-Adha: The moon's conjunction is on Wednesday, January 21, 2004, at 21:05 Universal Time, i.e. 4:05 pm Eastern Standard Time - 1:05 pm Pacific Standard Time. On January 21, the moon is going to be 4 hours old and cannot be seen anywhere in the world. On January 22, it will be seen in most of the world excluding Asia and Europe, as shown by the visibility curves. Therefore, first day of Zul-Hijja is going to be on January 23 in most of the world, and accordingly, 10th Zul-Hijja is going to be on Sunday, Februay 1, 2004, insha'Allah, while 10th of Zul-Hijja in most of Asia and Europe is going to be on February 2, 2004.

If having the moon be in a certain configuration is a prerequisite before taking action, then it would make sense for them to launch the attack a day or two after the estimated date just to be sure.