I am more and more coming to the conclusion that if I have a strong engineer(s) at the venue than I find it agreeable all the way around to send a quality unaltered signal. That's where some of these DI's I've been testing lately in the other thread really shine. They are definitely not uncolored, but they can operate in a manner that isn't obliterated with dramatic EQ. For example, the REDDI, Fatboy, Khan, and Groove Tubes Brick don't have any type of EQ adjustment but they all make the tone less sterile and bigger and fatter at the same time. But not in a hyped sort of way. Same with the Noble. To me anyway, the useful EQ is very limited before it becomes hyped in a way that might sound fun through earphones or at home, but not in a mix with many other instruments.
Honestly, a Khan, REDDI, Fatboy, Brick, or RNDI with nothing more than a bit of compression in front can sound glorious to FOH. All of these devices show a little more color when you dig in too. IMHO, this is even more true when you play a bass with onboard preamp where you can very subtly adjust a little bass/treble if need be.