The first I would paraphrase as: "The patient refuses to accept that his condition is psychological, and we do him a disservice by validating the idea that it might not be."
The second I would paraphrase as: "While there is always the possibility that this is a new condition we don't yet understand, statistically speaking it is far more likely to be psychological. Given finite resources, diagnosis and treatment for depression/anxiety is by far the best bet for giving the patient real relief."
To me the certainty of exclusion in the first message just immediately sets off alarm bells.
"This person has X" most of the time means "X has a strong statistical advantage in explaining this patient's symptoms, so we're going to pursue treatment for X until accruing evidence suggests we shouldn't." I guess that's not always true, given a few things that exist by definition, but it's mostly true.
And that's generally good enough, since... well, statistical masses tend to obey statistical properties.
Can you see the difference between the two?