I ... don't understand what you don't understand.
The two little squares on top have to be solid black all the time. They are the opacity of the colours.
The two (or more) little squares underneath are the actual colours that we see. They are in the same position as the histogram - shadows at the left end, highlights at the right end.
Yeah, lots of people ask about this. Ultimately you'll have to decide for yourself how you approach it - the whole speed vs cost thing.
I urge you to take the Bridge Class. It's SO important for this.
Anyway, we're getting off track. I'm glad you've ordered WHCC prints. Once they arrive, you can calibrate your monitor again to ensure a perfect match.
Then PLEASE dive into your Raw Class!
This is the one that I have: https://www.amazon.com/gp/product/B007TCITRS/ref=as_li_qf_asin_il_tl?ie=UTF8&tag=httpwwwdamien-20&creative=9325&linkCode=as2&creativeASIN=B007TCITRS&linkId=93d3a5a4945931a04bd18ff6ec7c8876
There are newer versions now, but it still does the job.
That means squat, I'm afraid. The most expensive home printer in the world is meaningless unless you also own the necessarily expensive printer calibration device. Do you own that device?