Hi Devmaxx.
To troubleshoot your specific issue you will need make a support ticket. Also be sure to upgrade to the most recent version of Zbrush–it’s free for registered users, and obsolete versions are not officially supported.
As far as general observation, I get this problem a lot just with YouTube running in the background and running any other resource intensive program like a game, not just Zbrush. Having open YouTube videos playing can be surprisingly demanding, and the source of many stuttering issues for me.
Also remember while Zbrush may idle at one level, its resource demand is going to spike drastically during operations even as simple as rotating a high density mesh while previewing a lower density mesh to improve performance the way ZB does. Depending on your system, you may always see some performance impact during these spikes with multiple applications running. Under no circumstance would I want to impair Zbrush’s performance by kneecapping its processes. If you have Zbrush open, it’s because you need to use it at its full capacity, and I have no idea what imapct reducing its process priority might have on program stability. Zbrush can make large demands of both your CPU and available memory.