Thomas' tendency to adjust to things that come up, as you say, is more reflective of his
Approach than his
Problem-Solving Style in my opinion.
I agree that he is a
Be-er. He does a lot of 'wait-and-see' on how others act - he prefers to navigate the world as it is, rather than coercing it to his will:
I give the Devil benefit of law for my own safety's sake.
I am inclined to say that Thomas More's PS Style is
Linear. If he were of the
Holistic camp, I think he would have considered more options for himself -- he would have balanced the demands of his conscience with his other needs and responsibilities, i.e. Norfolk's call for 'fellowship,' England's need for stability, his family's means and social standing, etc. But all of that cannot sway him because there is a line that he will not cross, one step he will not take.
This is demonstrated early on in the conversation with Cardinal Wolsey:
WOLSEY: I think we might influence the decision of his Holiness.
MORE: By argument?
WOLSEY: Argument certainly. And pressure.
MORE: Pressure, applied to Church houses, Church property?
MORE: No, Your Grace, I'm not going to help you.
People frequently try to bring More to their side by getting him to weigh costs and benefits, but he decides only on the basis of what is right, what his conscience will allow.