We added (real!) cameras after this and for the next 2 years freaked out every time an alert hit our phones. Now there are so many false positives that it's conditioned us to be less uptight.
My sister has a monitored alarm where I'm a secondary contact. On a recent alarm they phoned my to ask if I wanted them to call the cops. As I'm (at least) second in line this had to take at least 15 minutes since the alarm, plus the police response time (tip: minor property crime is not a priority for police). The burglars were long gone by the time anyone got there.
So my point is it's largely security theatre, like airport security. It makes you feel better I guess but does nothing.