Moms that want this look want this look for their daughters.
I wrote previously about parents poor hair care on their children. I believe this begin with the parent ( especially the mother). If a mother suffers from hair delusion what can she offer her daughter. Hair delusions include but are not limited to the belief that all length is good, any hair that looks good is good regardless of health, straight/loosely curled hair is superior to kinky/tightly curled hair, hair texture can prevent growth and oils moisturize.
The mothers seem oblivious to the fact that the heads of hair they covet are those of celebrities. A celebrity's appearance is part of their job, they have a TEAM devoted just to caring for and styling their hair. I don't expect my hair to look like that of natural celebrities for that reason. I don't have a team of stylist. If you don't have a team why should you look like them, relaxer or not.
I believe these women place this same pressure on their child, expecting them to look like the children on the relaxer boxes. The child doesn't have a team and in most cases not even a well informed parent. They bear your disappointment through demeaning words or caustic chemicals.
If you teach these delusions to your child in addition to the messages she gets from the larger society what will she think? I have seen the results. She is a four-year -old who teases another four-year-old because her shrunken natural hair doesn't show length or swing and flow. She will call her peer "bald-headed" and "ugly". She will ask with all the malice a child can muster, "Who did your hair?". She will learn she is not perfect the way she was born and will want to let her peers know too.