M.R.
You may be right on target with your assessment of what is going on here, but just wanted to toss something out there to think about when ever you see a parent who seems to be struggleing with a child's behavior (and you really think that it is because they have never tried what works with typcial kids.) Espeically if the child in question has a sibling who seems to be well behaved, consider the possiblity that the child who in question has an undiagnosed neurodevelopmental issue that effects sensory/ vestibular processing, languague and pragmatic understanding, or impulse and self control or awarness.
Parents who have given up on what works for neruo typical kids may look the same as parents who have never given traditional diciplinary techniques a try when you see them in the park dealing with a tantrum. I am not giving any parent an excuse for letting their kids run wild, when typical dicipline fails, they should be examinining every resource they have available to find out why, and sometimes, that is something that they don't want to face or have no idea is related to something that would respond to early intervention and therapy for what might seem totally unrelated to behavior.
Especially when there is a typical sibling who has turned out OK, you have to ask, how did that happen if this Mom-Dad is so ineffective?
Speaking as a parent who has been there, I have had other parents explain time outs to me, and tell me how to dicipline my autistic child, while my typical, well behavied, lovely child sat by respectuflly listening to the clueless adult give me a lesson, and the autistic child pulled at my arm being anyoing because she had some issue you have never thought of, like her socks were "wrong" or someone said something "in ephamism" and she took it litterally and she really does think that there are "sugar bugs" in her mouth and she just can't go on right now until she can get over it. You just don't know what you are not seeing.
I am not saying that there are not parents who are just as lazy as you think. But, you may also be wrong, and what you see is an exhasted, frustrated, and overwhelmed (for good reason) Mom whom you should have just a little compasion for, because but for the grace of God, one in 110 of you will also be in her shoes one day. It is something to think about.
M.