I own both the AH and Deco. I look at them as different beasts entirely. The Deco has that great tape warble/wobble/effect saturation , which to me, sounds like a tamed lo-if junky in which you can obtain your BOC sound with. While the AH is more of a mix bus/ reamp processor for me where I love using in place of plugins that bog down my CPU.
When I bought the Deco 3 years ago, I ran everything through it! The stereo widening effect it did to my mono synths were pretty impressive along with the tape flangy stuff, but I OVER did it and all my tracks started to sound so predictable after a while and I just became too dependent on it instead of learning how to mix properly. Subtle is the key for me now.
IMO, AH- mix bus analog dynamic processor. Deco- EFX tape emulation/ stereo widener
Ask me later how they sound together.