It sounds like that therapist might be burnt out on doing therapy.
Fair enough - therapy burns me out too (though I do recognize it is a good treatment and refer patients to therapy often). I find the medical/biological aspects of psychiatry much more interesting and rewarding.
As a fan of the biological side of psych, I do find neurology intellectually fascinating, so I don't think it is a bad specialty. However I think neuro can definitely be emotionally draining, just in a different way than psych.
Neurologists have to diagnose/manage grim conditions such as ALS, Huntingtons disease, multiple system atrophy, debilitating strokes, comatose/braindead patients, frontotemporal dementia (any dementia, really, but I find FTD especially sad because it often takes down fairly young people and the socially inappropriate behavior it causes can be so disruptive/traumatic for family). With those conditions, neurologists are often in the situation where they have to tell people "I know what's wrong but there isn't anything that current medicine can do to fix it".
Some people might find that a helpless feeling.
TPA can help some people dramatically but it can also cause grave harm (and many people show up to the Er too late for it to even be an option)
Parkinson's disease can be kinda depressing too despite being fairly treatable as neuro problems go...yes carb/levo or deep brain stimulation can help a lot of people, but they're not curative. Ultimately the PD progresses no matter what you do, and advanced PD can be very frustrating for the pt.
As others said, yes, Neurologists see a ton of psychiatric patients...just like Family Med and Emergency Med get to interact with a ton of psych patients. I think their interactions with psych patients are more stressful than they are for us because we are simply used to it and see it as our job to deal with it, while for them it is a distraction from what they are trying to accomplish.