What you're describing is likely saccadic masking, where the brain suppresses visual input during eye movements. It "freezes" perception just before a saccade and masks the blur, extending the perception of a "frame" up to the point in time of the sharp onset of masking. That's how you get a still of a partially illuminated frame instead of the blended together colors.
I’m no expert in this, but if you're curious, check out the Wikipedia pages on interstimulus interval, saccadic masking, chronostasis, and related research.
Now, I only measured two bulbs, but I am pretty darn happy with those results. I also opened one of their chargers and haven't looked elsewhere for chargers since. The thing was even more well built than my apple charger (the 45w sjöss is actually quite crazy. The 30w had some issues)
If the cycling of the light on and off is done at say 10kHz it's perceived as a dim light.
In practice, traditional dimmers are not quite PWM as they do not generate a square wave. Instead they generate a sin wave with portions of each cycle clamped to 0.
LEDs already need driver circutry to condition the relativly high AC voltage into a stable lower voltage DC. Dimmable LEDs create a stable DC power supply from the chopped up AC power, then use the width of the active portions of the AC as a signal to drive their own dimmer logic.
It obviously wouldn't work that way when lighting a room, but what about for an LED indicator light that you look at directly? I don't know enough to form an opinion.
The "fully bright" part is a consequence of human vision. Your brain is making sense of limited, noisy information coming from your eyes. A flickering light appears brighter than the light in steady state, lots of still images shown in rapid succession look like they're moving, as far as you can tell you can perceive the full range of colour out of the corner of your eyes, and the dress could be either colour.
Wild...yeah, I know. Heard that from a buddy in Austin over a decade ago. Vaguely recall that he had to redesign using some sort of current driver instead to avoid the legal encumbrance.