Regarding the idea that cell phones being able to do whatever a pager can do, I beg to differ. I expect my cell phone to last for no more than 24-hours at the most. A pager can last much longer. That may not seem like a big deal right now when we're warm and safe, but it could be a big deal in a large-scale disaster when you're out there.
Your cellular phone battery probably wouldn't be an issue. It would probably outlast the battery at the POTS exchange/cellular tower from the POTs telephone/cellular phone sending you the page message assuming a wide area power outage. Turning off/on every 30min etc to pick up SMS texts will greatly increase the life of the cell phone for 1-2 weeks.