His insertion back into the Red Wings line-up (and next to Lidstrom) for the 2002 playoffs after being benched in favor of Uwe Krupp ended up stabilizing their blue line after going down two games to the Canucks. They ended up running with Lidstrom, Olausson, Chelios, Fischer, Duchesne and Dandenault for the duration of the playoffs until Jiri Slegr went in for the Cup clinching game due to a suspension to Fischer. Olausson played very well in those playoffs.
Otherwise, he moved up and down the depth chart for the Wings during that season. He started as a regular, but then got briefly moved to the pressbox in favor of Krupp. Then Olausson was in and out of the line-up with some kind of illness. For the rest of the year, when healthy he alternated being dressed or scratched with rookie Jesse Wallin, until he got hurt right before the trade deadline. His injury was what prompted Holland to shop for Kasparaitis and eventually acquire Jiri Slegr. Once healthy again, he was rested most of the remaining games before once again being relegated to the press box in favor of Krupp to start the playoffs.
IIRC, after the playoffs the Red Wings were open to bring him back after Duchesne retired, but he took the offer from the Ducks because they guaranteed him a 2nd pair and PP role that he didn't really have in Detroit.