"Stress" is not some monolithic, universal feeling. This line gets trotted out frequently in these discussions, but no one has shown a correlation between the types of stress induced in interview situations and the types of stress induced in whatever situations are typical for your company. I would hesitate to even equate the stress of high-pressure situations in different companies.
Indeed. I am one of the people that freezes up in interviews. Yet I thrive in stressful work situations, such as customer emergencies (system is down), critical bugs, etc and I resolve the issues quickly precisely because of the right amount of stress.
The best way I can describe the difference in stress is with an analogy. When I visited the Grand Canyon and hiked around the mountain, my body literally froze. I couldn't move a muscle even though my mind knew I could do this and hike around. I knew it was irrational, but I was powerless. This is what interviewing feels like - a fear of heights. And with every rejection letter, the fear is reinforced.
Stress in the office is like playing competitive sports - it's a challenge rather than percieved harm to oneself.