As a buyer of Aviation Hull & Liability insurance, Underwriters rarely if ever classify overflight as "War Zones"
The usual rules are if you're flying into a war zone (or what may be considered a former war zone), that is material and depending upon where it is there will be an additional charge. There's no additional charge or restriction to fly into Israel at the moment.
For overflight, so long as the commercial airlanes are open and in using them you're not in contravention of any EU or UN sanctions, there has historcially been no consideration by Underwriters. That may of course have changed as of last Thursday (but we have not been asked any questions about the routes our airlines operate)