Sorry for your frustrations.
Here's how to log out of CNET in Safari. When you are on cnet.com, click on the hamburger menu (3 vertical line icon) on the upper right of the CNET page.
Once the menu page is loaded at the bottom of the page, there should be a silhouette head icon, click on that and it should display another menu. In that menu, just click on "Sign out" and that will log you out of CNET.
Let me know if you additional clarification.
Cheers and again we apologize for your frustrations. Hope this helps.
BTW I will be moving this thread to the Feedback Forum.
Safari on iPhone 7 will not let me log out. The log out option is hidden and won’t show. It is EXTREMELY frustrating. Come on Cnet! Fix your site! I have no trouble on my iPad Air 2.