Yes it does! A giant spike in the blue region is literally what makes the sky blue in the first place. If there weren't such a spike the sky would be white. When you look up at the sky on a typical clear day, you're getting more blue light than almost any one of these indoor setups.
If you look at 460-470 nm where the spike is in the LED spectrum, it's much lower in the blue sky spectrum.
I think the concern is something about the relative amounts of blue light. Not sure what exactly but something like, the human perception of brightness and therefore the self protection of the eye is calibrated for natural light, so the pupil contraction, looking away, etc, is not done correctly in with that unnatural distribution. Anyway I don't know if that's a real effect, but that's what people (should) mean when they're talking about "too much blue".
https://www.benkuhn.net/img/lux/ledspec.png