Why would employees of Hezbollah carry Hezbollah communication devices? That doesn't seem like the question you're trying to ask, in which case, what is a 'military' pager and how is it different from a 'civilian' pager? How are you able to tell apart a 'military' pager from a 'civilian' pager with such confidence as to present it as an unquestioned assumption?

I've spent quite some time looking, and I cannot find such a thing as a military pager. The only pagers I can find mentioned in a military setting are no different from the pagers that civilians would use, for example, the use of commercial pagers in US military hospitals.