Again your assuming that the Lebanese blame hezbollah for that fallout, and not the ones actually causing it. This is a classic imperial tactic of framing the ones fighting the system as troublemakers and blaming all the destruction the empire does in the name of repression on them. The Viet cong are the reason for us napalming children, if they weren't here we wouldn't have to do that. This can work on people sympathetic to the imperial project, but people who are less sympathetic think the empire is the trouble maker and the cause for the destruction, so anyone fighting them must be good.
Think, if trump went full dictator, and then antifa blew up an ICEstapo building and then trump started bombing Portland in retaliation, would you think this is all antifas fault like fox News would be pushing. Or would you think antifas a bit extreme but trump is a tyrant who is killing way more people who i am sympathetic to.
The sympathy for Israel among Lebanese and especially among shia is near 0, so if they're looking for someone to blame it's gonna be them.