In Britain, if the mobile phones of 3000 members of the non-governing Conservative Party exploded in their pockets caused by the armed forces of a different state, one could be reasonably assured you just declared open war on Britain.
Then imagine that France predictably shoots back, and takes great care to specifically target members of that terrorist group.
In this more accurate analogy, would you still say that France declared open war on Britain? I would say no - that the terrorist group is the one that declared war; and that France is clearly engaging in acts of war against that terrorist group, which happens to be embedded in a host country, like a parasite.
I think your comparison stops holding wage as,soon as you mention the Conservative Party. They just aren’t the same thing as Hezbollah.