LED chips can’t get above 150 °C or they fail. So high-power LED lights need appropriate cooling. And the heatsink is big and thermally conductive, making it feel hotter to the touch than it is (it delivers more heat to you finger over time). Meanwhile, the glass of some bulbs can exceed 300 °C but cools down to safe levels in a minute (or less if xou touch it with something) because it’s thin.

Also, 150 °C (420 K) objects do radiate heat as black-body radiation but not that much, also it’s far-IR so only detectable with thermal cameras. Meanwhile, a light bulb’s filament is 2700 K (3000 K in halogen ones) and the Sun’s surface is 6000 K, and both produce copious amounts of near-IR light that largely contributes to the heat felt on one’s skin when illuminated.