You are probably one of the few people on APUG using Fuji chemicals as they don't seem to be widely distributed outside of Japan. I suspect that Fuji Quick Wash is a hypo clearing solution. Could you confirm this.
I don't know if Hypo clearing solutions are necessarily better at dissolving the sensitizing / anti-halation dyes than fixer or plain water rinses.
I normally fix Tri-X for 6 mins in Ilford Rapid Fix or Hypam, (whatever is available), and use the Ilford wash method with an extra couple of dump and fills at the end. I get lovely, untinted black and white negs.