With warlight this is different because this website is the dominant interpretation and will always get first place in the search results. (I've worked in this field for years, I know what I am talking about). It is unlikely that in the future this site will become the dominant interpretation for "warzone" because it a very generic term.
I would love for you to prove how you've worked in the field of search engines for years and yet understand almost nothing of them. Getting rank 1 on the search engine has little to do with how 'generic' your business' name is. I've never worked in that field but some simple logic comes into play. If your assessment is true, then businesses with generic names would have trouble being search optimized. This is false though, successful businesses with generic names are search optimized. This tells me that popularity, or just simply money comes into play. This site runs Google ads and has a lot of traffic vs any other business running the same sort of name. Therefore once the switch is done, it will automatically beat out all of its competitors because Google makes more money by having the business top searches. It's how Google's business works so well. I've never dealt with this part of the business directly, but it's all logically easy to figure out.
So I pose a question to you:
Why wouldn't 'Warzone' top searches if it has higher traffic than any other business shopping 'Warzone' and stands to make Google more money due to 'Warzone' hosting Google ads?