They could just have... You know... Sent someone to have a look around the place. They'd probably just found the AirPods. Or... They could have... You know.... Acted like humans instead of paranoid power tripping psychos and -and I know this sounds crazy, but hear me out - rung the doorbell and asked questions like "have you seen anything?"
If they believed guns were possibly involved then it makes more sense to not just knock on the door.
Probably makes more sense to be sure who you are about to SWAT though. Maybe watch the house awhile from a distance? Scout it out? Otherwise demonstrate that you have a tactic other than not giving a shit about the people you claim to protect?