This is great information and very much what I believe too. To wake in the night is completely natural and an instinct. I was exhausted with all three of my babies but the baby i was most exhausted with was the middle one who I tried to train to sleep. I did it because the father wanted some kid free time in the evenings. I respected the fathers needs for a while, but actually me and my child were so relieved when reunited that I had to stop listening to the father altogether!
Oh, it's fine when there are a lot of children. I think you did everything right! Thank you for your comment!