All Free & Clear Detergent vs. Arm & Hammer Sensitive?

[Indoobidubly]

Is one better than the other for sensitive, acne prone skin?

ALL:
Anionic Surfactants (Cleaning Agent), NonIonic Surfactant (Cleaning Agent), Buffering Agent, Stabilizer, Brightening Agent

Arm & Hammer:
Cleaning agents (anionic & nonionic surfactants), ARM & HAMMER baking soda, water softener, soil anti-redeposition agent, optical brightener

[Meiri]

Seventh Generation, half of usual amount, plus a cup of Arm&Hammer Baking Soda--cheapest if you buy feedgrade by the 50 pound bag.

Or either of the above, half of recommended, plus the baking soda.