@t2 I still work for Verizon, and I mentioned this exact thought to my team leader last week. The work my team performs is repeated throughout the company, there is nothing that I do for Verizon that is unique.
To that point, one of the main tools we use for work was deleted last fall. The update is designed for anyone to use, including our sales team. We were two office buildings full last year, this year we are down to one. A friend who used to work for Verizon contacted me recently about a position with another company. I sharpened my resume and applied for the position last week.