This is a sample reproduction showing how the update check for a service worker no longer results in a logged request in the Network panel of Chrome's DevTools (tested with Chrome 102.0.5005.61). I am not sure when this change happened, but I believe I do remember Chrome previously logging the update check.
When run in Safari 15.5, you will see a network request for the update check in Safari's DevTools Network panel.
When run in Fireofx 101, you won't see a network request for the update check logged in DevTools, but I don't think Firefox even shows the network request for the service worker file during the initial installation.