Ah, the time-honored tradition on the Internet of making up one’s own definition and confidently asserting that everyone who disagrees is wrong.
Of course everyone knows it’s trivial for police to apprehend home invaders because invasion implies that they stay after they break in.
Probably we can distinguish between military invasion, and the use (arguably miss use) of the word colloquially in the US for home intruders.
Per the Cambridge Dictionary: "an occasion when an army or country uses force to enter and take control of another country"
In our case no 'taking control' has occurred, so this is not an invasion.
https://en.wikipedia.org/wiki/Invasion
>> In geopolitics, an invasion typically refers to a military offensive in which a polity sends combatants, usually in large numbers, to forcefully enter the territory of another polity,[1] with either side possibly being supported by one or more allies. While strategic goals for an invasion can be numerous and complex in nature, the foremost tactical objective normally involves militarily occupying part or all of the invaded polity's territory. Today, if a polity conducts an invasion without having been attacked by their opponent beforehand, it is widely considered to constitute an international crime and condemned as an act of aggression.