"Where are you? Not sure if we can help you neighbor but we can protect you. We'll be at your place in 5 minutes and you'll tell us exactly what you heard and seen and where so we don't go in blind."
How about doing that instead of going to whatever address anyone gives them like a pizza delivery but with blazing guns instead of pizza?
I expect you would wind up with more people dead from slow police response than saved from reduced swatting. Granted, I don't have data to back this belief up, but it seems to me if you're suggesting a change from how the experts currently run things, you should provide data that supports the change.
You assume that police quickly showing up save lives (except only for swatting). This might be true in some cases, like mass shootings.
But in case of domestic disputes it's not that clear cut. Police arrives in minutes, in the heat of the moment, escalate further and they shoot someone, usually the best armed one among people arguing or just the one that has most trouble with calming immediately in the middle of a quarrel. In many cases if they caught a flat tire along the way and arrived 10 minutes later, situation might deescalate till then.
There must be some optimal reaction time for the police otherwise if faster is always better then the best thing would be to each of us having a policemen with loaded gun pointed at the back of our head all the time, half-asleep, ready to be woken up to shoot immediately in reaction to whatever crime we seem to be trying to commit.
How about doing that instead of going to whatever address anyone gives them like a pizza delivery but with blazing guns instead of pizza?