I think they are fine and logically I can't find anything wrong with it (as long as it's neat), but I was taught that little girls are supposed to wear their hair in pigtails, whatever. Wearing your hair down was a rite of passage in my family. You were trying to be "grown" if you had your hair down. Heck, even wearing one ponytail was a little grown up. I didn't get to wear my hair down until I was a teen.
I know it probably doesn't make sense, but it's just the way I was taught. Maybe it will change when I have my own little girl.
To me, it has nothing to do with texture but I just think little girls look my age approriate with ponytails and braids. I think wearing hair down and out is something that girls get to do as they get older. My daughter wears her hair out around the house but when we are out, it is in a ponytail.
					
				

			
			
			
 . I was so glad when my momma would let me wear 1 ponytail.  But I feel that what you speak of relates more to the right of passage of getting your first relaxer, or first press...not just wearing it down in its natural state but in a straightened state. 
		
. Resistance is futile :angeldevi
	
  This is why we usually do twists (they stay in better and when the begin to unravel, they are cute twirlies) and pony tails.
			
  I've since stopped going in those threads
  I think my babies hair is cute...and Zahara's...and Henry's...