I would say that they have a very similar "baked in" sound which is a big plus for me, the Trace just sounds great with a bass plugged in, no pedals needed to get great tone. I found very small adjustment to the EQ panel made a big difference. My only problem with it is that at least three times playing live it has gone intermittent, and then come back, which becomes an issue that needs addressing. Chuck has looked it over and found nothing wrong with it, which great, but now that I have the Ashdown 300 the Trace will be my practice amp paired with an SWR 4x10 in my upstairs guitar room.
The Ashdown is robust and is loud enough with plenty of headroom for show my band will take on, we always run the bass thru the FOH so no need for a real high wattage amp, it sounds good on stage and downstairs in the rehearsal room.
The FOH guy at Aurora Borealis is quite good, the last few times we've played there he's had me sounding pretty clear and articulate, not boomy, the lows are rolled back a bit which really helps the clarity onstage and out front
Here's the EQ presently, I have the "shape" engaged, the input volume is way down as almost every bass I own will peg the input VU much past this, Live, I play hard. Output volume varies.
This from a the most recent show, from the far side of the stage - I'm using my fingers only.
Same night, other side of the stage with a pick, I like the bit of klank!