They have no presence outside the country - they are so bloated and inefficient they couldn't compete - but they are omnipresent here.
There are lots of people who depend on Rogers for home Internet, home phone, mobile phone, TV, and home security, not to mention business services that consumers also depend on, like the payment networks that are down.
Plus their media properties, which probably come in useful when the government starts to think about allowing more competition or decreasing the taxpayer money being funneled to them.