Day to day I am not convinced that pressure should have any place in the cockpit (well unless it involves small arms fire). I cant think why it should occur and if it does I would have thought the root cause of those problems needs establishing.
Tension as a function of one's environment is one thing; allowing one's decisions to be influenced by pressure is entirely another.
One will certainly experience in the cockpit; this can come from a routine night landing or an abnormal procedure. How well one functions in that environment is largely dependent on how well one can operate under that tension. If that tension is allowed to pressure one to take an action one wouldn't take without that influence, then one is acting inappropriately.
An onboard fire, for example, is bound to create some degree of tension. Tension tends to raise one's awareness level and one tends to perform at a higher level, especially if one uses that tension to one's advantage. That's very different from giving in to pressure. Pressure by passengers, for example, to press on to the destination, despite deteriorating weather, is something that must be disregarded. One must act and make decisions exactly the same as one would do without that influence or pressure.
One of the best safety briefings I ever had was three words long, given by a Liason Officer Major. He stood and said simply "Gentlemen, stay tense." I didn't appreciate his wisdom for some time, but came to see the value in his counsel. Complacency hurts, and even kills. A little tension is a good thing.