What would an ideal skin-friendly soap be like?

[TheSoapMan]

Hello!  I own a soap company.  I won't post the name or web site here because I don't want this to look like spam.

My soaps are already pretty natural and additive-free, but I want to take this to the highest level as far as skin sensitivity goes.  I want to create a soap that would be safe for almost all people to use, even those with severe skin conditions and sensitivities.  I'm writing here today to ask you how you would envision an ideal skin-friendly soap.  If you're a patient, what characteristics would you need in your soap?  If you're a doctor, what would like to recommend to your patients?  Here is what I'm thinking so far:

1) Organic
2) Unscented
3) Nut-Free
4) Dye-Free
5) Wrapped in plain dye-free paper
6) Paraben-Free
7) Vegan (This soap would consist only of a few plant-based oils, water, and sodium hydroxide)

What am I missing here?  Would this be a product that meets peoples' needs, or is there something else that would be needed?  I really appreciate all your guidance.

Thank you!

[TheSoapMan]

Just a follow-up question: Is such a soap even needed? I know that there are soaps out there that are only made of olive oil, sodium hydroxide (lye), and water.  Are those sufficient for sensitive skin, or is there a need for something more?

Thanks.