The benefits of a chilled cooling system (if any) have to be weighed against its increased complexity. I used to work on automated welding and cutting machines which is a very hot/dirty environment. The number of times we had to use chilled cooling was very, very small though. Typically it was only where there was a device in very close proximity to a heat source, like having a laser tracking system near the welding torch. As has been mentioned you can cause yourself more problems by the chilled loops tendency to want to condensate. This requires adjusting the chiller precisely for the environmental conditions.
A PC should have no problems staying cool though unless you have it stuffed in a hole where it can't get any airflow. I suspect more problems with PCs in shops are caused by power quality than heat. With lots of machinery there is lots of electrical noise and that can bring about lots of problems.