Oh, please. My daughter calls her baby ‘little chicken’ (because she makes a squawking sound when she’s happy) and it’s an affectionate nickname. I called my son ‘pup’ with the greatest love because he had the openness and energy of a happy puppy when he was a little boy. (I call my husband ‘Bear’ for other reasons and that is his official nickname.)
If you’ve ever seen kids (children) jumping around on a playground, you’ll understand the parallels between them and adorable baby goats. Boundless energy and enthusiasm. (and about the same level of destruction, if you’ve ever had baby goats.)
It’s not demeaning. You sound like a feminist who just had the door held open for her - looking for offense where none is intended.
Words have meaning and power. This is something you don’t understand.