I heard it described once that leftist thinking typically focuses on the justice of the outcome of systems, whereas rightward thinking often focuses on justice of the system itself.

A right leaning person might say, it is just to prevent people with means from receiving welfare. A left leaning person might say, means testing can leave gaps where some people are unserved.

The right leaning person says, "it is unjust to censor", the left leaning person says, "that system has a side effect -- if you are tolerant of hate speech, others will leave".

I don't know if this holds always, but now that it's pointed out, I see it in a lot of places.