Well yes, it is harder to retrain the type of pilot you described. The most important quality to airlines these days is operating the aircraft as a team. Including your colleague(s) in your decisions, sharing the workload and duties, and working in a multi-crew environment is so unnatural even to 200 hour freshly qualified pilots. But it's a skill that airlines need pilots to develop, perhaps over and above the individual's ability to battle alone through all sorts of weather patterns and suffer all the other pressures mentioned.
It's a different quality, that's all. Airlines may recognise the multi-crew environment of your instructing experience before that of your air taxi experience.
But you're fully justified to expect at least an opportunity to be selected.