Ummmm, yeah it's exactly how it goes.  look at my quote again.  I said that Honda doesn't 
make Integras; Acura does.  Honda owns the name rights of Integra, and is the parent company of Acura, but Acura still produces the car, so therefore it's an Acura Integra, not a Honda Integra.  The way you're thinking is you call the car by the top name holder of the car.
If that was the case, then it wouldn't be a Ferrari Enzo, it would be a Fiat Enzo.  But have you ever heard anyone call it a Fiat Enzo?  (Fiat owns Ferrari) Of course not, it's a Ferrari Enzo.  Same goes with Lamborghini.  Since Volkswagen owns Audi, which in turn owns Lamborghini, it's not a Volkswagen Gallardo, or even an Audi Gallardo:  It's a Lamborghini Gallardo.
In the car industry, a car's classified under the name of the 
maker of the car, not the name holder.
so my quote was right:  Honda doesn't make Integras; Acura does.  Honda owns the rights to them, since it owns Acura, but Acura makes them. 
You do some research first. 
