On looks.
Well - I cannot say - if you are disabled and need some kind of color calibration to account for that, please see a search I made.
app for calibrating screen colors targeting colorblind people
If you are curious about the search engine - see About SearXNG - searxng - it is a private instance of SearXNG - running on a Heztner cloud instance.
I used to work for a local Electronics store. We would go out to peopleâs homes and set-up surround sound systems, televisions, etc.
When Blu-Ray first came out, a guy came in and purchased a really nice Sony XBR television, Blu-Ray Player, and Surround Sound System. We set up a delivery/setup time. When we went to his house, we spent about 3 hours getting it all set up. We placed speakers around his room, did color calibration on the TV, and all of that jazz.
Finally, before we left, he grabbed a brand new Blu-Ray he had just purchased on his way home from work that day, because he was excited to see real 1080p HD on his new HD Flat Panel.
The movie he purchased was â300,â and he was very dismayed at the picture because of all of the ânoiseâ or âfilm grain.â He looked right at me and my co-worker and said âThis is terrible. Why does it look like this? Itâs all grainy, and doesnât look HD at all!â
I attempted to explain why, but he didnât want to hear it or believe it. I told him that I would be back tomorrow with a couple other Blu-Rays to show him that it was just the movie he chose. I grabbed âUpâ from Pixar, and âMy Best Friendâs Wedding,â as well as âTop Gun.â
âUpâ shows an incredible picture quality. âMy Best Friends Weddingâ give a contemporary look to the image, and âTop Gunâ being filmed in 1984 and released in 1986 (or so) had a lot of film grain because it was shot on film.
Fortunately that explained the process, and he was much less frustrated. I then told him that if he was going to go get âThe Matrixâ trilogy, not to be upset when a lot of the movie has a green-tint to it. 
Soooo⌠are we sure itâs not just the video?
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I like you. 
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This is definitely worth a go. It could well be a monitor issue, Iâve seen some rather bad examples of this.
How old is the monitor in question? Maybe the backlight has deteriorated, if itâs LED? (CCFLs just tend to get a bit dimmer over time but donât usually shift colour much).
Phone cameras may or may not have filtering, depends on model and its software, but the image quality depends on a lot of factors, e.g. JPEG compression. Also important to take screen photos in the absence of other light sources (and obviously without flash).
But I do note that they all CAN take horizontal (landscape) photos and videos, so we can see the whole screen instead of the narrow strip.
Also I believe the original topic question was answered by @medmedin in Post 4 in this thread.