Sure, but you run other programs on a home computer, and its not being supervised and cooled in data center. Dedicated doesn't specify that it has amazing specs, but that the computer is being used for one thing only. In this case, it is running a game server. If problems arise the equipment can upgraded easily.
If you'd rather play on one of the p-servers running this game out of their bathtub on their slow 3rd world country home internet connection, you're more than welcome.