#woooohoooo!
A script for mimoLive is similar to the script for the director of photography and/or the editor and their assistants and/or … . Yes, there is lots to think about, but once it’s written, this magic happens on point. So, for shows of any budget, the persons who work for the show, can focus their capabilities to/on live situations, instead of constantly checking a real tough/complex paper script.
But how often should the LTs be shown while fullscreen on a special person? If it’s once per their state in full screen, why don’t you simply do this?
(on Live)
Variant A:
- switch to Solo Person A
- wait 6 seconds
- activate lower thirds for Person A
Repeat this for all Variants 
(But keep in mind, that there are two actions different for Person B).
Notice:
The ALL-Option is simply switching all Solos off. Also these, which are not currently in solo-mode. It’s some kind of “in case”-off-switching. 
It could make also sense to switch the layer itself on, in case of it’s off.
- activate SplitScreen
- deactivate all Solos
By the way, this seminar could be interesting for you:
Finally, you could manage, that before a change, the LT is being shown a second time, the script waits 10 seconds and then it switches to the next person. But this needs some extra logic to tell mimoLive, which person should be switched next, after a total amount of 10 seconds.
Now you know exactly what I noticed by claiming “there is only a more or less complex way”.