How much might a game like Line Zen or Ball Jump be making per day?

Have you considered asking for Press Review or the like for your game?
Most of the renowned review sites don’t pay attention to these requests from average game developers, but for you the case seems to be different.
What I’d like to know is how they can influence the daily download rate of a game or app.

It’s easy. First, the ratings that you can see are only based in your country. Then, they show the ratings of the actual version with option to see the average rating of all versions.

So, they have a lot more than 200 ratings.

Not sure about ketchapp game, but similar super casual game like flappy bird was making $50k per day, and mr jump was making at least $20k per day (Source - https://www.chartboost.com/blog/2015/04/mr-jump-20-000-day-mobile-game-ads/).