I also have an Outlaw 1050, and I'm running M80's. With the Outlaw the bass response was pretty soft. A freind let me borrow hi Aragon 4004, 2 x 200w amp. I didn't know what I was missing out on until I used the new amp. It was a huge difference, solid powerful bass. So I went out and bought myself an Aragon on the used market, it's an old model but still highly respected. I still use the Outlaw to power all the surround channels.

Maybe the Axiom's are more power hungry than the Rocket, hence the differences you are hearing?