Safari 16 for Mac has a number of bugs. One of them is the push notifications you may receive from news sites like ours.
The notification reception system works perfectly. On the other hand, when you click on one of the notifications to go to the site, nothing happens. It should be noted that this malfunction does not affect the internal notifications that a website that is open in your browser can send you. This bug may be related to the fact that Apple is working on supporting Web Push, the standard on the web for sending notifications.
Notifications: Web Push supported by Safari 16 on macOS Ventura
In general, Safari 16 on Mac is more noticeable by its malfunctions than its novelties. In some cases, Safari fails to load web pages and displays a blank page instead. Some also complain of systematic page reloading when switching from one tab to another…
But on Mac, we can think that we will have to wait for the release of Safari 16.1 next month to have a more mature version. In addition to managing the new push system, it will support the AVIF format, whether for static or animated images. These two new features will be reserved for MacOS Ventura.