Clearly, but the emission spectrum is similar. LEDs are always lacking in red, which affects brown (dirt, leaves, etc) a lot.
Your eyes will adjust to the color temp... they have auto white balance. But they can't manufacture red emissions.
The emission spectrum is nothing similar, that's why they have different color temps. I can't begin to count how many times I went to school with mismatched black and navy socks due to the incan bulbs we used to have. A lot of good that 100 CRI did. You know that blue light LEDs produce incan guys like to think is going to murder everyone in their sleep? Yeah, not so prominent in incan lights.
Good LEDs these days come much, much closer to the sun's actual output and leave much less to be surprised about when you step into natural daylight. Yuji for example makes damn good daylight white LEDs with pretty damn good amounts of R9. It's a shame that only Sofirn has dabbled into using Yuji's daylight LEDs and those were only 5MM low powered ones. Nonetheless, the output that thing puts out is really a sight to behold. Some of their higher end LEDs are 98 CRI with 95+ R9.
With all that being said, if you could capture and store sunlight itself for nighttime illumination, it would look way too cool at night with all of the other lights humans encounter at night, including the moon and stars, which are about 4000K, just like incans and other warm lights look sickly yellow during the day.
