Whilst it seems to originate with Godzilla -- which honestly also doesn't seem to associate with a particular company but instead I would say it's a now traditional monster name in stories, like Dracula -- noone is confusing this with any Godzilla franchise. These sort of attempts to own a word sten, across trademark categories, are an over-step that legislators need to rein in IMO.

Does the recent Sky trademark battle speak to this?

This comment is entirely my opinion and does not relate to my employer.