Honestly, I very much doubt there are many controllers who actually care, in the heat of the moment, what percentage Stagecoach own of any given company.
This sort of thing is exactly where the divide is between the real railway operating environment and what enthusiast forums (which otherwise often raise good points) think is important. And I don’t mean that in a nasty way - just an observation.
It’s much more about what the timetable, diagrams and control policies agree on (not to mention other controllers tapping them on the shoulder and pointing out, say, that the route for the held train is set so RHTT 3Y90 will now be held for that train in a siding, and later lose its path behind another train and not make it through to destination before a possession - you get my drift).