And a good one.
No, it would not. Why...???
Because when the F-117 was shot down, and remember everyone mocked US because the jet was shot down with an older SAM system, no one smart took it that 'stealth' was a bad idea.
China copied US with the J-20. Am not saying the J-20 is a copy of the F-22. Am saying that China took on the idea of low radar observability and built their own 'stealth' platform. Why did they do that? Did they not learned from the shoot down of an F-117 meant 'stealth' was a bad idea?
No. It would not. Smart people know the F-35 was built for combat. To NOT use it, no matter who, would be stupid. The US have been the world's leader in aviation, civilian and military. Every airplane, civilian and military, have had its mishaps. From design flaws to simply human stupidity. But no one is stupid enough to buy a 747 or an F-35 and not fly them because of the fear of having a mishap in the public eye. If Israel uses the F-35 to retaliate against Iran, it will be a harsh lesson about 'stealth' for Iran, even if there is a loss of a jet.