Like it or not, Hezbollah serves a number of functions in Lebanon. They have civil servants (think trash collectors, postal delivery representatives, etc.) They also have politicians.
A corollary would be if the Democratic Party in the United States had a militarized wing, politicians, and civil servants.
It's a structure that those in the West don't recognize or understand, and leads you to the conclusion that anyone killed in the pager attack, for instance, is just terrorist adjacent. So a trash collector who's killed in the pager attack, and their family, are not in fact, 'terrorists'.
Also worth investigating in all of this are the structures and centers of power that are labeling them as a terrorist organization and why.