Not in the active shooter scenario. The standard approach now is to not even wait for SWAT, but to go in as soon as at least two officers are on the scene. The rationale is that active shooters usually stop killing people as soon as they get any kind of resistance, so timing is very important.

Of course "going in" does not mean shooting indiscriminately.

"Active shooter" scenarios usually only apply to areas with more than a few potential victims, e.g. not a single household.

It definitely seems like some simple heuristics could help a lot in giving police a sense of the probability that it's a false alarm. They will of course still need to assess the situation, but systemic police accountability issues aside, harming completely innocent people is still no picnic for the officers involved, so knowing when the fraud likelihood is particularly high should help them calm down and take a more measured approach.

Apart from call tracing, I'd expect simple things like whether the caller stays on the line and cooperates with the dispatcher (vs hanging up immediately) to be quite predictive.

  Actually going inside seems like it should be the last resort

and they did not go inside to shoot the victim.