The amount of time you have for playing might affect your choice of e-board game. E-mail games take minimal time per move. You can ponder your own move for as long as you like, but put the game aside after making it, and don't need to wait for opponents to decide what to do. These games are played one move at a time, sometimes one move a day or a week. They can take the longest time to finish, but short play times.
People think about their moves, munch on snacks, or get diverted into political discussions.
So playing against the computer can be very efficient, if that's what you're looking for. But you do miss out on the social interactions. In family board games we spend quite a lot of time on discussions of how to win and lose gracefully, and on answering kids' questions that come out of playing the game, like the economics of real estate in Monopoly . Just as for books and movies, sometimes one version is preferred over the other. Personally, I like Monopoly as a board game, but prefer Upwords and Risk on the computer.