It's called weighing the benefits. The benefits of a modern smart phone far outweigh the limited benefit of a reliable pager for the vast majority of scenarios.
First off nobody said you have to give up your smartphone in order to use a pager.
Second off, reliability is the only advantage of a pager, so if you do not need reliability, then hell no you don't need a pager.
Your original post is still ridiculous; the idea that you'd turn down a company because they offer a more reliable emergency contact is just stupid.