The archival issue for b&w is the silver image stablity. The archival issue for c-41 is dye image stability. For E-6 the same, but also get all the silver out to pevent darkening.
So for b&w fast fresh fixes (not too long) wash, HCA. wash. sistan, selenium etc.
For C-41 the issue is how processed. If home brew, wash well, and a final rinse with a few ml/L of formalin in with distilled water with not too much phtoto flo is the best bet, then to store them in acool dry place in compatible material.
For E-6 I have heard of adding a rinse between bleach and fix, to cut bleach carry over and keep the fixer happier. Then rinse again and do a second fixer to get the last residual silver. Wash well in running water.
If home brew E-6, then formalin in final rinse is still recommended.
If commercial 6 step E-6 , the pre bleach, CD carry over and bleach all combine to stablise the dye and formalin is not needed in the final rinse.
Somewhat longer than recommended wash in any colour process will not do any huge harm, but it will not in and of iteself enhance dye stability.