Yeah - that's right - but that means: You must sell Your property in Canada rightaway, and make sure, that you have no spouse, children whatever left over there - otherwise it can get REALLY nasty;
we have a colleague from america, who was taken into custody rightaway after arrivin' in JFK - for allegedly tax-fraud - he obviously didn't pay his dues on US-world-wide income & his ex-missus turned him in - he is now facing a massive 6-digit-tax-evadsion-bill & some court hearing for that - bad luck
note: never mess with the INS !! You've been warned, there's zero tolerance!