The reason I have this fear is that when my ISP upgraded their servers some time ago, despite their assurances that I would have minimal disruption of service, I couldn't get back online for over a week. Contacting their helpdesk for advice, it turned out that the way my setup had been well, set up, no longer met with their approval or criteria, and it was up to me to sort it out. Me! I hadn't a clue as to where to begin, and frankly, that state of affairs hasn't changed. I eventually managed to get back online by accidentally (okay, accidentally on purpose while in the middle of a temper tantrum) pulling out and then putting back in a cable in the other room, but I don't know if I'll be as lucky a second time if my taking my 'puter from one room to the next should result in similar difficulties.
So...try it and see? Or best not to touch it? What do you think?