1.) Do you agree with the inverse square law?
In other words:
It's a matter of magnitude.
It has nothing to do with direct versus reflected light, it's a matter of magnitude.
If the argument here is that projectors are incapable of generating as much light as an LED display and thus you can't make the mistake of keeping it uncomfortably bright, that's only turning a limitation into a feature.
2. Do you agree that the blue light wave length from an LED light source being somewhere around 450 mn is a short wavelength that is the highest in energy in the visible light spectrum?
No. Violet is. We see out to about 380nm.
I don't want to freak you out here, but... the sky is blue. Most of the light our eyes encounter outside is biased blue because of the Rayleigh scattering from the atmosphere. You're going to have to work pretty hard to make blue light seem scary.
blue light wavelengths being high energy and short wavelength
You seem to be taking the same property and treating it as three. "Blue being blue and blue". The energy and wavelength are related by a constant-- they are the same measurement. The color is simply a less precise way of expressing the wavelength-- they are the same measurement. Blue isn't a particularly short wavelength in the electromagnetic spectrum, in sunlight, or even in the useful visual frequencies in nature. It does happen to be in the upper third of the wavelengths most humans can perceive because we have two of four or five photosensors tuned in that range.
All of which is to say, why are we talking about blue light? If it's somehow bad, why would we be so sensitive to it? Not only do we have blue-tuned cones, but our rods are particularly sensitive to blue as well-- if it was bad, you'd think we'd have evolved a defense against it.
If you're confused by things like Night Shift, that's not to protect our eyes from blue, it's because blue light breaks down melatonin and discourages sleep.
LED spectrum is arbitrary:
If you're getting too much blue light from your display, then your display is out of calibration. If you want the colors to look natural, they should be the same as you'd see in the real world-- if you're watching a scene on TV that looks like it was taken outdoors, then the color from your TV will look like daylight.
do you think it could be conceivable that there is a difference in putting a LED light source inches from your eyeballs VS a LED light source that is being projected across a room say 12 feet and then being diffusely reflect back 8 feet to your eyeballs?
Nobody has explained what that difference is yet other than being dimmer.
The light being reflected from the blue sky is about 7000 nits, direct sunlight is much stronger.
You're going to have to present something more than FUD here to make your point. Inverse square laws and wavelengths sound scientific, but the main thing science would look for is causality. None of your sources or your commentary give a causal relationship.