It can be, depends what agency you work for, I'm in a large center for the CHP we dispatch for 6 counties and sometimes the calls are hard to hear like horses or animals in big rigs screaming due to a TC or kids crying due to domestic stuff.
Most times we won't know the final outcome which can affect some people but for the most part I don't let much bother me.
I consider it a career more than a job, I don't just serve the public, most of my job is making sure the guys & girls on the road go home safe at the end of their shift.
As a dispatcher your the eye of the storm, your taking 911 calls whilst talking to field units and allied agencies, doing 5 things at once and in control if it all.
I've worked radios with 60 field units on it and each one of them needing something at the same time, it's a rush
One thing that always gets me though is that people do not know where they are! Street and cross street, I've taken calls from people who want jack in the box closed down coz they forgot a chicken strip and even one guy who bought $10 worth of cocaine gave his dealer a $20 didn't get his change so he wanted us to arrest his dealer AND get his money back for him....