The T-800 are called as Uncle Bob and Pops, these are nicknames, but does the T-1000 have a name? Or is ever called in some way other than its model?
My understanding is that SkyNet is sort of a technology HiveMind kind of like how ants work together, SkyNet works the same.
It is the controlling force behind all of the battle units. It pools data from battle units, develops tactics and coordinates attacks. Skynet has control over everything which contains a Cyberdyne Systems CPU.
It seems them as "Units" rather than individual sentient beings