No, I don't think that's necessarily the case. It may be the case that companies hire more worker bees in the form of telecommuters before making an infrastructure commitment, and that could end up as a "first for layoff" situation. When I worked in IT consulting, the vast majority of people I knew telecommuted; the only people in the office full time were the "non-producers" - HR, administrative support, accounting and the like. If they'd fired based on telecommuting, there would be no income.
I think it depends entirely on the job you're doing.
*that would be an "other" response.