After spending some (like, way too much) time with the REDDI, P-15, and Arkham Zephyr (also B-15 based, with a Cinemag OT), I can say that the P-15 and the Zephyr can get very close to the REDDI starting with a bass cut; you can hear the lows for the two in the tracks (P-15, DI-3 and Zephyr NDI-4). They're gone in the subsequent P-15 track (DI-4). With the Zephyr, I use an FDeck set at 60-80 hz(!)...Voila. The REDDI does not have the high extension the others have either. To my ears it has a more narrow sound with, as someone else put it, rich harmonics...and that is what makes the REDDI. It a great, balanced, tone right in a sweet spot.
But, that's also what makes it seem somewhat limited for what I would want. I'm sure in pro settings with all the $$ equipment it's a great starting (and maybe finishing) point, but I want/need something a little more versatile, and I mean only a little. After awhile of messing with this stuff, the REDDI started to sound a little flat compared to the other two. Obviously, due in large part to the tone control capabilities (especailly on the Zephyr - great unit). As far as what to send to the board, I'm a firm believer in "You can dial it out, but you cant dial it in".
The "sub-lows" and lows - it's funny how so much attention is given to a cab's response "down to 30Hz", and then everyone is buying Fdecks to cut off everything below 35Hz. I've come to learn that the stuff below 30-60Hz should be used...umm.....tastefully. I think the good FOH and studio guys have been doing this to us fairly regularly. IMO, these freq's out of control can trash the sound, particularly live. I use my FDeck for every show, with the Zephyr, 2k watts, and an F212. It's amazing how much better the tone is with it. It's not too hard to imagine that the REDDI (which if I understand right was created very specifically for the studio) was engineered with this in mind.
Interestingly enough my main amp is a reissue V4b, IMO it's as good as it gets for something with fabulous tone and a reasonable weight to carry around, it's not a micro head but it's not much larger or heavier than the cab you cart along with a micro head. My swiss army amp it a Acoustic Image Clarus +, which has a HPF and to elumlate a B15 or my V4b style tone the first thing I do is engage the HPF, boost the bass and cut mids and treble. Get's me as close as I can with that gear. I prefer to take out the V4b or my Reddi, neither of which require use of the Fdeck HPF with my upright. To me the clips of the P15 to lesser degree has that the tone associated with the ultra hi and ultra low engaged. Not often my thing but gets occasional use when I have the V4B out, not an option with the Reddi. No point here just comparing notes...