The peroxide is the bleaching agent - it's been used for eons to control acne - it's not a new concept by far...

What concerns me is the damage long term... Bath I would stick to miessence or L'occitane or some other natural product. Maybe send it back if you aren't okay with using it. Or give it away to someone who is okay with it?

It is the culmative affet of all of the chemicals not just one off use that should concern us. For example SLS is in almost every foaming product (uless you make conscious choices not to use it).