“Fairer” in this case means “composition of each state’s congressional delegation roughly represents the composition of political affiliation among the state’s citizens, and elections are reasonably competitive in areas with mixed support”. Currently, there is no question that the Republican Party has a significant structural advantage in Congress due to the gerrymandered district boundaries in states they controlled after the 2010 census. Moreover, most congressional districts are extremely safe for one party or the other, encouraging candidates to run for office on radicalized anti-compromise platforms. My personal preference would be to see districts drawn in a neutral way.
The green states in this picture use an independent commission to draw districts, https://upload.wikimedia.org/wikipedia/commons/4/4d/Redistri... It would be nice if more of the yellow states (redistricting controlled by the legislature) would switch to independent commissions.