Except that human life is causing many other species to be extinguished here on Earth so perhaps it would be better for the universe if humans would go extinct, in a gradual and humane way: see vhemt.org.

vhemt.org = The Voluntary Human Extinction Movement

I imagine that people attracted to this movement to either stay true to the "voluntary" aspect and pay with genetic demise for their mental susceptibility, or realize that their movement will be never manage to voluntarily attract the number of people necessary for movement's "success" and at some point look for more effective ways of achieving the said human extinction. Anyway, this is next level kind of awkward stuff.

It would also mean humans are the only species that has potential to spread life throughout the stars. I agree with JohnJamesRambo that we should see how precious human lives are.

No specie on this planet can go extinct voluntarily that's not how Biology works. Life on Earth is exactly opposite meaning survival, reproduction and evolution as core rules.

I would argue that a species going extinct is neither good nor bad, so neither better nor worse. This applies to the human species, as well as others.