> human eye is opaque to

Absorbing the laser isn't necessarily any good. Very hypothetically it could lead to cataracts.

Sun emits much stronger IR, near-IR, UV

Absolutely, and is a major cause of cataracts. Somewhat near 100% of people with lenses in their eyes will get cataracts eventually if they are ever exposed to unfiltered sunlight.

And staring directly at the sun is not recommended.

That's why we don't look at it.