Washing Cloth Diapers

Right now I switch between Sal's Suds and a zote/borax/soda mix. The mix gets things cleaner but I don't like adding that much borax to our grey water/soil. I have tried soap it's in the past and found it to work about as well as Sal's Suds but costed more. Yes, I plan to use dirty diaper water for grey water, at least to water compost/humanure and probably to water some longer term perennials that won't make food for a few years and some plants for the animals etc. So please don't flame me for wanting to use dirty diaper water and call it grey water instead of black water!
Please share any anecdotal evidence and experience with using Sal's Suds, soap Nuts or zote/borax/soda mix for washing Cloth diapers as well as using those soaps in your grey water. My main concerns are being ecological and economical. I would like to stock up on a laundry solution before my baby is born and not have to do multiple orders or end up with a lot of packaging.

Aside from what you seem to understand about black water/grey water usage is maybe borax is not so bad after all:

https://permies.com/t/45332/add-borax-compost-soil

Maybe put the water in different spots each time to see what happens.  If the plants seem to be affected then maybe mix the water with your dishwater.

If you are still concerned then use vinegar, lemon juice, or baking soda to wash the diapers.

My concern when I had a new baby was whether what I was washing the diapers in was gentle enough for the baby's skin.

Be sure to hang the diapers in the sun to sanitize them.

If you soak the diapers in a smaller container containing the borax or borax/soda mix, then you can cut down on the amount of product making it to the final wash.

I wash our kids diapers without a soak most of the time and it all goes to grey water. No issues and the plants love the nitrogen.

Make sure to remove the poo!