@melbay - With the jumpers removed on the speakers, I assume the subwoofer outputs (or preamp outputs?) from your Coda integrated are running the Crown which then is wired to the bass speaker inputs on the Signature SE's. Then I also assume the integrated amp's speaker outputs are wired to the Treble speaker inputs on the Signatures.
With the extra gain knobs (and gain stage) on the Crown, you can affectively increase (or decrease) bass response (below the crossover point of 180 hertz) by driving the two 10's in your speakers to a higher level than when your Coda integrated amp was running the whole cabinet. That may be why you are finding the need to get rid of the REL and hearing more information in the low frequency output of your speakers.
Also, (only my opinion) having the two 10's on each side in the same plane (now driven by their own amp) and using the internal crossovers may integrate better than having the single REL subwoofer. There could have been some phase cancelation or other issues with the REL placement / integration as the Signature's 10-inch drivers did (or tried to do) the same work as the REL sub, but in different locations in the room.
I am NOT criticizing in any way and have done this same type of thinking myself in other systems (and currently bi-amp my main system). Crown's have good damping factors and can sound pretty good in home audio in certain situations. Enjoy!!