Fishman under saddle element with a Fishman Classic 4 preamp/EQ.
I have the same pickup/electronics in a Martin dreadnought from the same time period and it is "just OK" in that guitar. The dreadnought has solid woods and is a higher end model, but the unplugged performance seems to be at odds with the amplified tone. Plugged in, it is difficult to capture the natural (excellent) tone of that thing using those electronics.
The 00CXAE synthetic materials guitar though? The same pickup and preamp make that thing sound absolutely amazing plugged in. It is very lively feeling and sounding but quite quiet acoustically. I don't know the physics that are at work but it is super easy to get a huge range of usable tones. (I usually use an SWR California Blonde with a Natural Blonde powered extension cab and a few pedals, FWIW.)
Playing solo, it can sound very rich and deep with lots of the desirable overtones that make solo acoustic guitars so intriguing. It's super sensitive to different playing techniques and it reacts to dramatic changes in dynamics beautifully.
With the band, the onboard EQ is voiced perfectly for dropping out the lowest range and emphasizing the midrange so it still cuts through without getting in the way of the other instruments.
Unplugged though, the tone of that guitar is pretty uninspiring. I would never attempt to record with it mic'd. Also, since I added a bridge plate and altered the bracing and top resonance with the JLD and trapeze tailpiece, it is likely very different from an unmodified version of the same guitar.
Please take my comments with a grain of salt.