Israel wasn't really at war with either Lebanon or Yemen or with the Palestinians. It was with Hezbollah and the Houthis and Hamas. All attacked Israel with no provocation before Israel retaliated.
Syria is a different story. Israel did bomb military assets in Syria once the Assad regime fell/fled out of concerns they would fall into the hands of Jihadists. It also took territory to expand the zone it controls in case said Jihadists have intentions of proceeding into Israel. It took advantage of a vacuum in an uncertain security situation. During Assad's reign it did not bomb Syria since the 1973 war (where Syria attacked Israel with no provocation, that was Assad the father fwiw).
Sure, by that token the US wasn’t really at war with Germany or Vietnam, it was at war with the Nazis and the Viet Cong. It’s a meaningless distinction to anyone actually affected by the wars.
Additionally, Israel bombed Damascus during Assad’s reign.
Here’s one recent example (bombing an embassy building):
