I have had extensive experience with both Emotiva and Parasound amps. Owned all generations of Emotiva, including the latest (XPA-1, XPA-1L, XPR-1, XPA Gen 3, A3). I also owned three Parasond JC1 and an A21.
I don't think that the Parasound A23+ is going to solve your bass problems. These amps are really not bass monsters. The Emotiva XPA-1 had much stronger bass in actuality.
The Parasound will give you extremely clean midrange. I don't know about the latest "+" models, but first generation A21 had rolled off high frequencies. Same with the JC1, but it also had a weird dry sound in the upper mids/highs.
In the end, I actually prefer the Emotiva sound because it has better extension into the high frequencies and better bass, but if you listen closely you can hear some of the flaws. All my current Emotiva amps are completely rebuilt, upgraded and modified to fix the flaws. These are mostly due to cheap capacitors.
Upgrading the fuse in your Emotiva amp will really help with the sound. Also, an upgraded power cord.