I'm not using Keylab or MCC. Have you for instance seen "5.7 Creating presets" in the Keylab manual? Is that what you are trying to do?
I am not using Ableton Live either. But usually in a DAW a track must be armed before the instrument on the track is controlled.
So if all your tracks are armed, then you can send midi data to them all.
When i talk about split, then it's like what you can read in the Global chapter of Keylab manual. Apparantly you can split your keyboard into two sections - upper and lower. So you can set it to send one midi channel for the lower and one for the upper section. That can be used to control for instance two synth on two tracks in Your DAW if the tracks are armed and all after your DAW's requirements set to recieve on the matching midi channels for the upper and lower section.
Remember to engage Split Channels in your DAW if you would like to create a separate Instrument track input for each MIDI channel from the Keyboard, and your DAW require this.
This is the only need i can see for you to use multiple Midi channels with software.
Also there can be a purpose when using Hardware midi gear.
However - Mini V and other Arturia synths sadly do not recieve MIDI Program Change informations.
And this is what Analog Lab's manual say about MIDI Program Change:
"5.7.4 Standard list of presets and MIDI Program Change [new in Analog Lab 1.1]
The Live Programs are accessible through the VST3 list of presets provided by Analog Lab. In other words, you can select the live programs from DAWs’ preset selection.
As a consequence, you can select the live programs using MIDI Program Change messages depending on the support of your DAW.
Note that the list of presets is not supported in Audio Unit for technical reasons."
Also read "4.6 Live Mode Quick Start" and "5.7 Live mode" in Analog Lab's manual.
So in my opinion to do what you wan't if i understand you, then i would use the Analog Lab's Program Map's. You can save and load different Program Maps with different presets list. Then you can use your Keylab to control that.
And then you can use the snapshot feature for the 10 favorite snapshots from that Program Map.
Read "4.4 Taking a Snapshot" in Analog Lab's manual.
However in Live mode you don't have access to the full Mini V plug-in. Only the parameters in Analog Lab is availble. But that's many.
You can also create different start files for your DAW, with different set-up's - including sounds.
Just in case. The individual Arturia synth do not have the Program Map feature to enable Program change. So you can't create set's of preset's for them, unless you do it in Analog Lab's Program Map as explained above.
NOTE: Analog Lab's manual mention something about you can use Program Change using the VST 3's comming with Analog Lab, but i can't find any Program Change possibility in my MIDI or automation Map's. Not even for Analog Lab itself. That's bad. Maybe it's another bug. Maybe Arturia can explain this?
EDIT: Maybe Arturia mean like i've explained, as the VST's comming with Analog Lab is only in Analog Lab.
This is what i can do to help you. Please note, i a user, not a technician, and i'm not using the same controller, MCC and DAW as you do.