(which is evident when you read the article, but not called out explicitly)
This is a big deal for any use which involves private/sensitive/confidential data, as it can inform eavesdroppers about current issues, internal tools/architecture, personnel status, etc.
For example, do you want to know when a major cloud company is having an internal outage? Listen for pages which follow their internal notification format. Or maybe you want to know if a critical patient at a hospital is having troubles - listen for pages to their doctor. Does the military command center use pagers (I hope not) - that could be interesting too...
If your employer is using pagers, raise this issue to their security team (and share this great page showing how easy it is to eavesdrop). At the least, the pager messages should be as vague/simple as possible while still being useful. At the best...don't use pagers.
Pagers are already a poor choice - messages are delivered "with best effort" but there's no guaranteed sending, no receipt, no retries. If you're out of range (or signal blocked), the message is lost, and it's up to the sender to implement their own ack & retry system.
(I carried a pager for work for almost 15yrs)