As it turns out, the place we stayed for the first two nights had no internet access. At all. In fact, the proprietor gave me the 'What, are you that stupid?' look when I asked. So the group had to go through the painful withdrawal symptoms associated with temporary digital deprivation.
But all is well now, and we are in Isafjordur, which is teeming metropolis of what appears to be possibly more than 1000 people. The big city, in other words. So the collective sigh uttered by our group as they logged onto their email accounts and were able to delete three days worth of unwanted Viagra email spams from their inbox was audible to most everyone in Isafjordur.