Both, but primarily live. I use an HX Stomp as my basic preamp, running the SVT model out of it, then into the Khan or REDDI. Everything on stage goes to a split - our IEM console and FOH - so I get the same sound that's being sent to FOH, though I have the option to tweak from the IEM console. While I do tweak my overall stereo IEM mix with some EQ and compression, I don't touch anything for the bass itself. Both the Khan and the REDDI really bring a depth and smoothness to the tone of the HX Stomp that, to me, make the pedalboard rig more like having an actual tube amp pushing things through.
I have a Neve RNDI that I've ran straight direct (no HX Stomp or pedalboard) a few times. It's a great sounding DI, but definitely not as smooth, round, and warm as the Khan or REDDI for that application. But, the main purpose of the Neve was to run in between my V-4B and cab as a speaker level DI capturing the entire output section of the V-4B, and it excels at that for sure.