This is easy and not a question of belief: They are both 18" so about the same Sd but the Aurasound has an Xmax of 75mm and the 2245 of 25mm (peak to peak). So an Aurasound should "outperform" three 2245. If you want to break down your house, go and get a decent 2,000 watt class d amp (just kidding ;-) It is one of the most modern and technically sophisticated subwoofer driver out there. But does it match your "vintage" mains?
Before I started the JBL soundbar project, I also considered the Aurasound. I totally understand where you are coming from. From reading your post I believe your heart goes with the Aurasound. So go and get it. There's nothing wrong about it. It's all fun...