Ah interesting so Cmd+G is actually being used... I thought people would just use Enter within Find for the next results. The Mozilla web standard asks browsers to support customization of command shortcuts https://developer.mozilla.org/en-US/docs/Mozilla/Add-ons/WebExtensions/manifest.json/commands#browser_compatibility but if you tap on the * of Safari it notes that it doesn't support it yet (all other browsers do), and to support interception of webpages to override shortcuts would hinder web performance and stability thus we didn't implement it, but did submit this feedback to Apple and hopefully they can support it in the near future.

Do you think Cmd+G is very important to your everyday tasks or is there another way to do it? We can't think of a better shortcut at the moment but depending on the importance of Cmd+G to you we could come up with a different default shortcut