Initial reports citing the family as the source clearly indicated the door was "shot in." (It's very common for family to make statements before they are cautioned by LE not to speak further). I also believe it's possible the neighbors heard the door being shot in, but not necessarily gunfire that happened inside the house.
I agree that LE has never publicly confirmed whether door was shot-in or kicked in, and all we really have is speculation:
Door Kicked or Shot in?
[...]
1.) Relatives of the family said that the front door of the Barron home where Jayme disappeared from without a trace was
shot in.
It is one of the few details about the crime scene that have been released as police continue to keep a tight lid on their investigation.
Fitzgerald said on Tuesday that the 911 call came from a cell phone while inside the home, but no one was communicating to the dispatcher.
Cops searching for missing Jayme Closs reveal the teen was HOME when her parents were shot to death | Daily Mail Online
2.) Jayme’s relatives told CBS News that the front door to the family home
was shot in.
Fitzgerald has said Jayme is not a suspect in the killings. At a Monday press conference, he said, “We don’t have a suspect, we don’t have any leads right now.”
Missing Teen Jayme Closs Was Home when Her Parents Were Killed — and Front Door Was Shot In
3.) Investigators ramped up the search for
13-year-old Jayme ClossTuesday, deploying canines and releasing new photos of the teen, whose parents were found dead in the family's Wisconsin home. Relatives of Jayme told CBS News the front door to the house was
shot in. Jayme has been missing since sheriff's deputies discovered her parents' bodies Monday morning.
Police trace 911 call after Wisconsin girl goes missing, parents found dead