I see no evidence that the universe, independent of human social efforts to create justice, is just.

The question as to what difference it makes is a tricky one, as far as I can see. It can make all the difference in the world, or it can make no difference at all. It is almost synonymous with the question of whether there is a God or not.
Schopenhaur had an interesting take on the question of checking out. He seems to have thought something like, "If the injustice of the universe is leading you to check out, your making a stupid mistake. You should instead, just resign yourself to the injustice, because checking out is not solving the problem which was caused by beginning with the assumption that the universe should have been just."

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1977 300d 70k--sold 08
1985 300TD 185k+
1984 307d 126k--sold 8/03
1985 409d 65k--sold 06
1984 300SD 315k--daughter's car
1979 300SD 122k--sold 2/11
1999 Fuso FG Expedition Camper
1993 GMC Sierra 6.5 TD 4x4
1982 Bluebird Wanderlodge CAT 3208--Sold 2/13