Israeli i24 Hebrew Media Outlet has published a report stating 7 reasons on why the Arab Republic of Egypt refused to participate in Operation Prosperity Guardian.

No.1 "The leadership represented by President Abdel Fattah El-Sisi, who prefers diplomacy in dealing with all files, even the most sensitive and dangerous ones, indicating that El-Sisi did not go to war in dealing with Ethiopia regarding the Renaissance Dam issue, the construction of which threatens Egypt’s future, and he will not enter into a war in Yemen for the sake of Suez Canal revenues."

No.2 “The economic problems and the decision to enter the war lead to a threat to Egypt’s interests and more losses and instability, because the decision to go to war will not receive popular consensus, unlike the consensus regarding taking deterrent steps to preserve Egypt’s share in the event of dealing with the Renaissance Dam file.”

No.3 "Egypt's realization that the declared goal of the war by the United States and its allies, which is to restore calm to international waters, eliminate threats, and not threaten Israel's security, will not be achieved, according to the Egyptian vision, by waging war against the Houthis, but rather by eliminating the causes of these tensions, which is the ongoing war in Gaza, which continues to expand the circle. The conflict threatens the stability of the region and the world"

No.4 - Egypt did not lose the war, as a matter of fact, if you enter Wikipedia, which is one of the most braindead websites in the world and is subject to Israeli censorship, it says "Egyptian Victory", this is because we entered the war intending to eliminate the Monarchy in Yemen.
I do not see a Monarchy in Yemen, the Monarchists in Yemen were eventually eradicated and Yemen was divided into a Northern Republic and a Southern Republic, but it is a fact that victory was not worth it and that Egypt should not have joined anyway.
There is no proof for No.7, as the meeting was private, and No.5 had Egyptian participation limited to Naval assets in the long run.

No.5 "At present, the experience of the Arab coalition in its war in Yemen is still present, as the countries participating in the coalition have realized that there is no escape from diplomacy."

No.6 "The Arab position on the new coalition to fight the Houthis is unified, as all Arab countries refused to participate in it except for Bahrain, whose participation was considered by observers as an Arab representation not to anger the United States, but it carried within it a clear answer that the Arabs would not enter a proxy war on behalf of anyone, especially since the United States The United States declared its full support for Israel in its war on Gaza. Participation in this alliance will be tantamount to a bias towards Israel and will be met with widespread popular anger."

No.7 "Iranian reassurance, as Iranian President Ibrahim Raisi sent messages of reassurance to his Egyptian counterpart Abdel Fattah El-Sisi, that the Suez Canal would not be affected due to the Houthis in Yemen escalating their attacks on Israeli ships or those heading to Israel, during the recent period in the Red Sea, according to what Egyptian diplomatic sources reported."

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