SeriousEats looked at dish detergents this spring.
Many consider them very neutral and nearly never talking out of their rears.
https://www.seriouseats.com/best-dish-soap-8779113
Palmolive beat Dawn for surfactant power and has a slightly lower pH so it's probably better on skin.
We buy whichever of the two is on sale and top off our contertop pump. I don't perceive any difference but for color and cost.