The issue with many cable modems is that there is no way built into the modem to cause it to do basic reinitializations (like "figure out what name the hardware that is attached to me expects to hear itself addressed by") is to start from scratch. So if you switch what you have plugged into the modem, then you need to power-cycle or they will forever talk past each other.
Once it is up, then barring a hardware change you can leave it that way for months.
Cheers,
Ben