My Lunasix 3 serves as a backup meter, so for me the mechanical adapters that merely convert the physical size of hearing aid (zinc air) batteries make sense. I can pop the adapter + battery out of the meter when I'm not using it, discard the really inexpensive batteries and store the empty adapter with half a dozen unopened hearing aid batteries, ready to go.
In quantity, the hearing aid batteries are about 60 cents each. In addition, they are easily found (at slightly higher per unit cost) in local drugstores and many other locations - including hearing aid stores.
If the Lunasix 3 was my everyday meter, I would most likely prefer the adapters that convert the voltage from silver oxide cells. That was what I used for an OM-1n. The local, everyday availability of the hearing aid batteries does however make the other approach attractive.