I wouldn’t consider someone who doesn’t believe true that which a given religion pontificates as true to be of that religion.
If someone told me they were an atheist-christian, I would be forced to ask what all of the christian beliefs they shared just for clarity’s sake. If they said none, I could only conclude they were an atheist that goes to a christian church or engages in whatever christian ceremonies they choose. That doesn’t make them a christian by my account. If it did, then I could celebrate one religious holiday for each religion and be an atheist-(list all religions here). In the end, the atheism is the only portion that would refer to my personal beliefs or considerations of truth.
I am confused about one thing, and I will in a moment do a little research… again… on how these terms are used today. I usually go with agnostic to convey my utter and total lack of beliefs. But herein I see many using atheism to mean the same thing… I am missing something. Could anyone clarify the difference between an atheist and an agnostic.
From my theological studies, gnostics believed one could not know if god existed. Later the term agnostic was used to distinguish that the agnostic admitted they did not know if god existed but made no claim to the extent to which others might be capable of knowing if god exists… hence more of an awareness of ones own lack of beliefs, and their lack of beliefs concerning what others may or may not know or believe (i.e. anti-gnosticism).
Atheism meant the belief that no god or higher power existed; to wit, a belief to the contrary of theism (i.e. anti-theism).
Based on my understanding of the concepts, atheists, gnostics, and theists all share the common holding of beliefs, and agnosticism is pretty much your number 2 option… “son/daughter, learn stuff and then we can share stuff we learned without needing to choose a conclusive belief or establish cult like conviction to any particular possibility.”
Based on this, I would answer your question, yes and no. Clearly the details would make quite a bit of difference. But the spirit of your question leads me to think you are asking if atheism indoctrination produces similar effects (behavior being the most observable) to religious indoctrination, to which I would answer yes by my observations, very much the same (so no to your question, not much difference).
Drawing conclusions about those things that cannot be proven to some minimal standard yields most of what you have today, people with contrary conclusions (be they beliefs, faiths, or whatever) argue, debate, demand representation of their conclusions alongside all the others, sometimes go to war with those of deviant conclusions. It’s the natural effect of diversity, not that I judge that to be bad, but it is an effect.