If you are shooting modern color negative film, a "stabilizer bath" is not necessary. Up until the mid 90's, the final rinse bath in the C-41 process was called a "stabilizer bath," since it contained Formaldehyde or Formalin. Modern color film emulsions include chemical stabilizers within the film emulsion itself.
The "stabilizer baths" found in many modern C-41 color developing kits, including our own liquid kit, contain a surfactant (to prevent water from drying on the film and leaving spots if the water is hard) and Hexamine or Miconazole (mild anti-fungal agents). Neither of these is necessary for the stabilization of the dyes or hardening emulsion. But it's not a bad idea to use a final rinse bath that may be included in a C41 kit if you have hard water, or if film will be stored in a humid environment in order to prevent organisms from growing in your emulsion, since processed color film does not contain silver (naturally anti-microbial).
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