BS!! We live rural and you can bet your sweet bippy that if someone starts crashing my door down, they're going to be mincemeat. And, you can take that to the bank farlander.
A homeowner's presumption is that a violent intrusion is a case of criminal intent. That the intruders are armed says an intent to inflict great bodily harm or worse.
Whether the violent, armed men rushing in are cops or gang bangers, requires an instant judgement. Professionals may be trained to make such instant judgements correctly, usually. Ordinary citizens are not.
Particularly cops with face masks, though the info is not clear in this case.
Cops who crash in doors thus, should be doing so at their own risk. An ordinary person can not be expected to instantly distinguish guns and blinding tactical lights of cops from those of thugs.
Further complicating things is that immigrants here from some countries come from a background where the thugs and cops are very hard to tell apart.
An old lady can hardly be expected to figure it out.