So first, to fix your issue, get a tempered glass, it will make the screen visible again although no guarantee that it will be crystal clear.
Now then, why this happens is because of the way that 3rd party screens are designed, all devices with LCD screens have a polarization filter with in them, why this is is because of the way that light works. With out them you wouldn't be able to see the screen at all, it would look black blue white or fuzzy. Polarization works by taking all the rays of light and refracting them to a certain direction. It works well in sun glasses because rather than dimming the light with a dark glass, it refracts away most of the light coming towards your eyes and dims the ones that do come through. However, when your looking at already polarized light with them, if the filters are not polarizing to the same direction of light it will filter out all of the light, hence why it works in landscape. Adding the tempered glass on top refracts the light again in a different direction which is why that fixes the issue. Apple's polarization filters on their screens are different than 3rd party screens, though the difference is so slight, the only time you would ever notice this is with the polarized lenses. Apple and "apple verified repair shops" (which are essentially smaller non apple owned apple stores from what I can tell) are the only places in the world that can get apple original screens, all other repair shops are left to find suppliers of 3rd party screens, eBay, or making their own form 3rd party parts.
So in conclusion, 3rd party screens are made slightly differently, which causes a small issue that ,however annoying, can be fixed fairly easily and cheaply if you look online.
Edit: all screens come from china including apple original screens and all are maid fairly cheaply (screens can cost apple and 3rd party suppliers sometimes less than $10 to make depending on the model) they charge for the demand of the product and the time spent to make it and obviously to make a profit because that is the goal of any company and most individuals, money is a big part of every society.