I would say the Trickfish is much more clear, sparkling, wide-open when set flat, and has less of a particular character when the EQ starts getting involved.
I've made comparison recordings between the flat Trickfish and a couple of different high-quality DI's, the REDDI and the Neve RNDI. The flat Trickfish sounded nearly identical to the RNDI to my ears, which is an amazing thing to say. Engaging the tone shaping controls makes very effective, somewhat neutral but somehow still musical, changes. It never gets out of control, and I always feel like the sound of the bass itself is still in there.
The WW amps I've had demonstrated much more character of their own than does a Trickfish. And of course Walter specifically voices the two channels of his amps differently, or at least he did on the older models, so I can't quite say what THE sound of a WW is. My current Woods (early 1980s) is badly in need of new capacitors, so the values have probably changed quite a bit, and it absolutely has a particular and distinct tone (different on each channel). It sounds AMAZING but it's just a little too, I don't know, eccentric to be my daily driver of an amp.
In my hazy recollection, the late-1990s Electracoustic WW amp I had was indeed more neutral sounding than the older ones, and it may have been more similar to the Trickfish vibe.