From the description I am also not convinced that a UPS would help. I an not a professional electrician (although my degree was in Electrical Engineering 50+ years ago) however I have worked in IT as a senior electronics design and network engineer supplying large and complex IT solutions both for industrial process control as well as for commercial and military use so have experienced many power distribution issues over the years.
I am not familiar with the specific Thin Client devices you are referring to but have designed systems using a variety of them over the years. They are very simple computer devices which typically use less power than laptop or desktop computers. If they are well designed they should cope with office mains. If there is a problem with "dirty" mains this might require a mains filter rather than a UPS. Nearby lifts and their control gear have been notorious in this respect but the impact would be intermittent. Are there any standard desktop PCs in the area? If they work OK then it may point to an excessively sensitive Thin client. Do you have the specific make and model.
You have not said how they are networked but there could be an issue here with the network cabling injecting noise into the computers and this could be upsetting the devices.
I have never known a supply problem to cause such symptoms and I have seen some severe problems with industrial supplies.