Zloth
I smell a... wumpus!?
I've been doing that with the ToS. The game actually did notice when my internet connection dropped so it does keep in contact with something but all it did was say I couldn't play online until the problem was fixed.
Staying offline does mess with balance a little because you don't get a Forward Operations Base which adds to what you can mine. That doesn't seem to be too big of a deal, though. I'm not close to half way through the game and I've got most parts of my base to 3/4 modules. D-Dog has something that requires your security group's level to get to 20, too, which I guess I won't be seeing. You also don't get to send as many groups out on mercenary missions.
Staying offline does mess with balance a little because you don't get a Forward Operations Base which adds to what you can mine. That doesn't seem to be too big of a deal, though. I'm not close to half way through the game and I've got most parts of my base to 3/4 modules. D-Dog has something that requires your security group's level to get to 20, too, which I guess I won't be seeing. You also don't get to send as many groups out on mercenary missions.