I put alot of my 2 cents in the TT800 thread over the years as someone who played a 400+ for years and still think of it as perhaps my favorite all-around bass amp.
I agree with
@Wasnex about alot of what made those amps great to me the way I used them- the authoritative low-mid punch combined with a really cutting high-mid edge/grind and some of the best preamp overdrive I've ever heard in any amplifier (combined with a great-sounding power amp saturation on larger stages of course).
The TT Boogie channel definitely has some of the character that defined the sound of the 400+ for me (the heft and some of the upper clarity/cut), but misses some key elements which eventually led me towards trading mine for a WD (which I LOVE!):
- the push-pull "Shift" options on the 400+ took it from the typical smooth Fender-type sound to something much punchier and grindier with ease (not just when driven, also when using cleanish tones). The Shift control on the TT seemed too subtle to really match this. The Super 400 pedal by Master Effects seemed to nail this much better (getting that pedal was when I decided I could move on from the TT800).
- the graphic EQ on the 400+ allowed me to sculpt the mids in so many ways beyond the typical mild scoop of the Fender tonestack. I could use the passive tonestack to tighten the drive tone and the graphic after the gain stages to fill in what was cut in the passive stage. The TT preamp by comparison had me boosting the bass too much to fatten things up at the expense of the drive tone that could then turn too fuzzy and uneven for my taste.
- more on the drive tone- the preamp drive of the 400+ excelled at tight grindy/growly drive on the "Vintage" channel, the TT drive for me was much smoother, fuzzy, compressed, and seemed to fart out on the lower notes once the higher notes got where I liked them (uneven in a way that the 400+ wasn't). Not sure if the EQ settings contributed as described in the last point, but I did tend to set the passive EQ on my 400+ much brighter and tighter then add more chunk using the graphic EQ which really worked great. I actually find the WD800 drive/saturation much more pleasing than the TT, though neither sounds much like the 400+ drive at all.
In all, I found the TT to be much smoother and "hi-fi" than my 400+. It was a pleasing sound, but more of a mallet than the hammer that the 400+ could be. The 400+ could be smooth and hi-fi as well (particularly on the "Modern" channel) but could really do alot of things well (I used it for everything from country to punk to death metal!). Interestingly, I think the Mesa Prodigy/Strategy went far in the other direction- accentuating that "hammer" thing at the expense of the softer sides. The 400/+ were really the perfect middle ground for me, though the Prodigy I still have is a fantastic amp too and the weight and footprint made it an easy choice/compromise.