I have an older 01V96 and if I want to print the song with reverb I would send the signal through an Aux channel (look on mixer where it says “fader mode”. Normally, the aux’s are patched to the FX returns and the FX returns are patched to the stereo mix bus. You would just record the stereo out channel where you have that bused to. That would print what you hear in the headphones. If you want to print say one channel with reverb, say a vocal then send the out of the reverb channel to s pair of outs. Use the same reverb and same aux amount for both channels with the same levels. The desk is very flexible. In my case, I record each channel direct and the stereo buss if I need to.
I use a separate audio interface for the computer. You can use the stereo out’s direct to the computer. If you are on a Mac you will have to use some software like Loopback to route the stereo out of the mixer to the audio 1/2 that stuff like Zoom and OBS use.
I think you make a great choice with 01V96i.