Thank you, Conn. Trooper.
So it appears that not all "hot burglaries" in Connecticut qualify as "home invasions":
Sec. 53a-100aa Home invasion: Class A felony. (a) A person is guilty of home invasion when such person enters or remains unlawfully in a dwelling, while a person other than a participant in the crime is actually present in such dwelling, with intent to commit a crime therein, and, in the course of committing the offense: (1) Acting either alone or with one or more persons, such person or another participant in the crime commits or attempts to commit a felony against the person of another person other than a participant in the crime who is actually present in such dwelling, or (2) such person is armed with explosives or a deadly weapon or dangerous instrument.
(b) An act shall be deemed "in the course of committing" the offense if it occurs in an attempt to commit the offense or flight after the attempt or commission.
(c) Home invasion is a class A felony and any person found guilty under this section shall be sentenced to a term of imprisonment of which ten years may not be suspended or reduced by the court