No comparison. Louisana is INFAMOUS for corruption. The state has had corrupt politicians since it entered the Union. In the dictionary next to corruption is the state of Louisiana.
Chicago is bad but the rest of IL is fairly conservative. IL used to have Republican Governors that served as a check on Chicago, although lately that hasn't been the case.
Don't be deluded into thinking that Louisiana is the only corrupt state. We at least send our crooked governors to jail not the White House and Senate. Remember the Clintons?