It really depends on how you’ll use your skills for the job. If you have experience managing spreadsheets, for example, you probably don’t need to list the operating system you’ve been managing spreadsheets on; you need to list the specific program that you use, like Microsoft Excel.
It can be helpful to include the platform that you have the most experience with for programs that work on multiple operating systems, like Adobe InDesign. And of course, if the employer notes that they’re seeking proficiency in a particular OS (like Windows), it pays to note your expertise in those areas in your resume.
Check how resume examples in your field typically list their skills for more insight on this.