That type of notification is actually allowed in the NFPA 72 as long as the AHJ accepts it. I find it very stupid case in point:
In 2001/2002 Feburary or March it was below zero. The college in my town was monitored by Simplex. So when an alarm would happen, monitoring would call security office, security office would call the security officer on patrol to go to said building and check. Well 3AM call came in, above protocal was used. Officer on duty was on other side of Campus. I can't remember the exact dispatch but it was between the time Security got the call and the officer checking the call was like 7/10 minutes. So when we arrived in our big red trucks the second floor was rolling.
Since then all calls go directly to fire dispatch from monitoring and then security is called.OH yea we got lucky kids at winter break except one using a candle for light, other wise we would have had a bunch of dead college kids.
I believe the code reference is
8.4.4.6.1