Hezbollah also has a massive social services wing, operating hospitals, schools, etc. I'd keep that in mind when hitching my wagon to this line of thinking.
They use a standard phone.
It did, however, mention that an 8 year old girl was killed by one of them. Which is a foreseeable consequence of widely distributing a bunch of bombs and then detonating them without regard for who’s nearby.
The pagers were not secure at all also.