Here is a prior post by FBR:
C/P
Zydot is specifically designed to remove drug metabolites from hair. Aloe Rid and Paul Mitchell Cleanse 3 are marketed as things that remove environmental contaminants from chlorine from swimming and things from hair sprays, gels, mouses, etc. It stands to reason that since Zydot is designed for the purpose of beating drug tests and ALoe Rid and PM 3 are not, the Zydot would be the stronger choice. Aloe Rid and PM 3 are useful though.

Back to laundry, you asked if you could use one of those shampoos instead of Tide? Tide is probably the strongest laundry detergent on the market. It will clean your clothes but it will fade and eat them up too. Tide is far away stronger than shampoo, far and away. Try washing a load of dirty clothes in Head and Shoulders and see what happenes. I don't think you can use conditioner to replace Downy either. The Mac method tries to make the hair porous so that the detergent can enter the hair shaft. Detergents are also stronger than soaps. There is a chemical difference.

Letting it soak longer probably helps a little more but at some point, there is going to be diminishing returns. I don't think anyone has proof heat helps but heat added to many chemical processes helps the chemical process so that is probably the working theory on that.

Bleaching hair helps remove metabolites. Doing it twice probably removes more than doing it once but probably doesn't remove twice as much metabolites. The color does nothing, only to keep you from looking suspicious or a punk rocker.

If you do the mac method multiple times it will make your scalp raw. Hair bleaching is also rough on the scalp. If you are going to do multiple macs, you probably want to do the hair bleaching after the first couple of ones before your scalp gets too raw. Other than that, order matters little. Mac will fade the hair coloring slightly in some cases.

I think I covered all your questions.

BTW for those who are wondering, the macujo method is soaking the hair in vinegar and 2% salicylic acid, which is found in several OTC acne preparations, for about 10 minutes then using Tide or other laundry detergent. There is also a government study showing Zydot can reduce THC metabolites by 23-39%.
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I think I would do the zydot multiple times if I were you. It looks like the best most proven method.