You mean “Actions and Shortcuts”, correct?
Yes, “Actions and Shortcuts”
These are also saved with the project, do you load a project?
Yes, I have a single default project always loaded on start (and saved whenever I make a change I want to keep). I rarely use any other projects besides the default, mainly when trying to reproduce a bug for this forum 
The question is how you proceed. If you load a project, it should come as saved. Of course, Actions assigned to MIDI controllers which are not present with the actual hardware will not work.
As explained above: always auto-loaded, same controllers in both locations (home and rehearsal room) including same CC mappings for all dials/faders. As mentioned, when I manually load the “Actions and Shortcuts” saved at home in the rehearsal room after the project us loaded, the controllers are mapped as expected and work.
So we need to know what you do exactly, and what doesn’t work as you expected.
At home
- M-Audio Keystation 88 Pro as master keyboard, lots of dials, faders and buttons available for mapping to VST Live
- Behringer X-32 as audio interface
- Dedicated audio laptop, Windows 10
- Latest VST Live version
Default project with about 30 songs loaded automatically at project start.
When I add or change a controller mapping by MIDI learn, I usually only saved the project and all was fine.
Once I noticed that there was a problem using this in the rehearsal room, I also started to additionally save this from the “Actions and Shortcuts” dialog in a separate file.
Rehearsal Room
- Second M-Audio Keystation 88 Pro as master keyboard
- Steinberg UR22 as audio interface
- Same laptop
Default project with about 30 songs loaded automatically at project start.
After startup sometimes the UR22 audio interface is automatically selected, sometimes the “Generic Low Latency Audio Driver” is used and I need to switch to the UR22 manually.
Normally, the Keystation was auto-selected as MIDI input 1, once or twice that this not working (UR22 MIDI IN was selected instead) and I had to select the Keystation manually.
Now the keyboard (note on/off etc.) works as expected, but the mapped controls do not work. No action when I move a controller mapped to “Mixer Channel 1 Volume” or hit a button mapped to “Play”.
I need to open the “Actions and Shortcuts” dialog and load the config file I saved at home. This is what I do not understand - same laptop, same master keyboard (well not the same, but exactly the same model), same auto-loaded project.
Then everything works as expected.
Back home
Default project with about 30 songs loaded automatically at project start. All controllers on the master keyboard work immediately, no need to load the configuration file manually.