Weird, I've never had issues with LED bulbs, but I routinely have headaches from fluorescent. Maybe I've just lucked out with my specific bulbs being higher quality (Ikea, Philips Hue). I imagine color spectrum is a large part too.
If I don't move it's ok, but as soon as I look around I see a pattern of black and white areas from LED light.
I also wonder about e.g. The Anker desk lamps, where the bulb is built in. I have one behind my monitor with the head turned round (it's designed to do this) to throw light up the wall behind my monitor as bias lighting, and another (their clamp lamp) on my electronics desk. They're great lamps with annoying touch power buttons, but both are adjustable color temp and have built-in LEDs which never require changing.
The Hue bulbs... well, one's developed a noisy transformer. Replacements are, what, $40? Meh. I like the Zigbee integration, but not $40 in two years worth of like. And the CRI of the Hue is just as bad (actually worse) than the other bulbs.
Lesson learned, those Ikea bulbs are great.
(Also their color bulbs are $40, but they have much cheaper white ones, and also an in-between model they call ambiance which are white but allow you to adjust color temperature)