I have the old Zerostat, and I suspect it is the same as the Milty Zerostat. In answer to your question, yes the gun will eliminate ticks, pops and lower surface noise IF static is the source of those noises. If, however the noise, ticks etc. is because of fingerprints or dirt, you must clean the record with a record cleaning machine. I suggest the VPI 17F. If that model is too pricey, there are less expensive models, and all will improve the performance of your vinyl beyond belief. To get the best results, use good cleaner and proper procedures. If you are interested, I have opinions about both. And, after the LP is clean, its still a good idea to use the Zerostat. Often, the spinning of the LP on the record cleaning machine will generate static and draw dust to your just perfectly cleaned LP. In any case, the Zerostat is a valuable tool, with or without a record cleaning machine.
