Except people have already done these experiments, and it turns out trichromacy is quite common among humans.
If you actually dislike LED lighting then you should also notice issues with LED screens not just lightbulbs. Instead you like most people dislike bad LED lightbulbs which are common because most people are buying them without testing em. Which means most manufacturers don’t actually optimize for light quality.
If the spectrum of the LEDs match the sensitivities of the eyes, then everything is fine. But LEDs are narrow spectrum; they won't reproduce color the same way as a broad spectrum light source will.
As for LED screens, those are emissive and work great for simulating any color. However, they are not good light sources for lighting objects because they're narrow spectrum.
If the object you're lighting up is broad-band reflective (like paper with broadband black pigments), then everything is good. But as soon as you get narrow-band pigments, colors are going to be distorted.
You also run into the same issues with the images displayed via an LED screen.
There is no such thing as non distorted colors because even sunlight is also reflecting off objects in the environment. We are just used to seeing a decent approximation of what stuff probably looks like in full sunlight. It might be an old hack but changing a filaments temperature is only approximating what happens at different times of the day as the sun’s actual temperature and thus black body spectrum is constant what’s actually changing is the amount of atmosphere involved.
The truth is everyone doesn’t make the same corrections, individuals are simply fairly consistently with their approximation. https://en.wikipedia.org/wiki/The_dress
If you actually dislike LED lighting then you should also notice issues with LED screens not just lightbulbs. Instead you like most people dislike bad LED lightbulbs which are common because most people are buying them without testing em. Which means most manufacturers don’t actually optimize for light quality.