Egypt HAD a decent tourist industry under these conditions, as well as some other economic benefits.
It is possible that the military wants to return to those conditions.
Maintaining or improving the peace with Israel and pulling support for the misnamed "Arab Spring" "rebels"/terrorists, would tend to improve stability in the ME, and make it more difficult to suck Egypt into a war for the Caliphate and against Israel.
tourism is important to their economy. Much of it came from visitors from Israel and cruise ships. People feel who do not feel safe will avoid Egypt. Israel is a tourist Mecca.